bluuebunny/crossref_metadata_2025_split huggingface dataset:
Polycharacters of Cocommutative Hopf Algebras
Authors: Bahturin Yuri , Kochetov Mikhail , Montgomery Susan 
Published: December 2010

AbstractIn this paper we extend a well-known theorem of M. Scheunert on skew-symmetric bicharacters of groups to the case of skew-symmetric bicharacters on arbitrary cocommutative Hopf algebras over a field of characteristic not 2. We also classify polycharacters on (restricted) enveloping algebras and bicharacters on divided power algebras.
Modular Equations and Discrete, Genus-Zero Subgroups of SL(2, ℝ) Containing Γ(N)
Authors: Cummins C. J. 
Published: December 2010

AbstractLet G be a discrete subgroup of SL(2, ℝ) which contains Γ(N) for some N. If the genus of X(G) is zero, then there is a unique normalised generator of the field of G-automorphic functions which is known as a normalised Hauptmodul. This paper gives a characterisation of normalised Hauptmoduls as formal q series using modular polynomials.
Images of Additive Polynomials in 𝔽q((t)) Have the Optimal Approximation Property
Authors: van den Dries Lou , Kuhlmann Franz-Viktor 
Published: December 2010

AbstractWe show that the set of values of an additive polynomial in several variables with arguments in a formal Laurent series field over a finite field has the optimal approximation property: every element in the field has a (not necessarily unique) closest approximation in this set of values. The approximation is with respect to the canonical valuation on the field. This property is elementary in the language of valued rings.
The Topological Interpretation of the Core Group of a Surface inS4
Authors: Przytycki Józef H. , Rosicki Witold 
Published: December 2010

AbstractWe give a topological interpretation of the core group invariant of a surface embedded inS4[F-R], [Ro]. We show that the group is isomorphic to the free product of the fundamental group of the double branch cover ofS4with the surface as a branched set, and the infinite cyclic group. We present a generalization for unoriented surfaces, for other cyclic branched covers, and other codimension two embeddings of manifolds in spheres.
Biquadratic Extensions with One Break
Authors: Byott Nigel P. , Griffith Elder G. 
Published: December 2010

AbstractWe explicitly describe, in terms of indecomposable ℤ2[G]-modules, the Galois module structure of ideals in totally ramified biquadratic extensions of local number fields with only one break in their ramification filtration. This paper completeswork begun in [Elder: Canad. J.Math. (5) 50(1998), 1007–1047].
Griffiths Groups of Supersingular Abelian Varieties
Authors: Gordon B. Brent , Joshi Kirti 
Published: December 2010

AbstractThe Griffiths group Grr(X) of a smooth projective variety X over an algebraically closed field is defined to be the group of homologically trivial algebraic cycles of codimension r on X modulo the subgroup of algebraically trivial algebraic cycles. The main result of this paper is that the Griffiths group Gr2() of a supersingular abelian variety over the algebraic closure of a finite field of characteristic p is at most a p-primary torsion group. As a corollary the same conclusion holds for supersingular Fermat threefolds. In contrast, using methods of C. Schoen it is also shown that if the Tate conjecture is valid for all smooth projective surfaces and all finite extensions of the finite ground field k of characteristic p > 2, then the Griffiths group of any ordinary abelian threefold over the algebraic closure of k is non-trivial; in fact, for all but a finite number of primes l ≈ p it is the case that Gr2() ⊗ ℤl ≈ 0.
Residue: A Geometric Construction
Authors: de Salas Fernando Sancho 
Published: December 2010

AbstractA new construction of the ordinary residue of differential forms is given. This construction is intrinsic, i.e., it is defined without local coordinates, and it is geometric: it is constructed out of the geometric structure of the local and global cohomology groups of the differentials. The Residue Theorem and the local calculation then follow from geometric reasons.
C*-Algebras of Infinite Graphs and Cuntz-Krieger Algebras
Authors: Brenken Berndt 
Published: December 2010

AbstractThe Cuntz-Krieger algebra 𝓞B is defined for an arbitrary, possibly infinite and infinite valued, matrix B. A graph C*-algebra G*(E) is introduced for an arbitrary directed graph E, and is shown to coincide with a previously defined graph algebra C*(E) if each source of E emits only finitely many edges. Each graph algebra G*(E) is isomorphic to the Cuntz-Krieger algebra 𝓞B where B is the vertex matrix of E.
On the Singular Behavior of the Inverse Laplace Transforms of the Functions
Authors: Iakovlev Serguei 
Published: December 2010

AbstractExact analytical expressions for the inverse Laplace transforms of the functions are obtained in the form of trigonometric series. The convergence of the series is analyzed theoretically, and it is proven that those diverge on an infinite denumerable set of points. Therefore it is shown that the inverse transforms have an infinite number of singular points. This result, to the best of the author’s knowledge, is new, as the inverse transforms of have previously been considered to be piecewise smooth and continuous. It is also found that the inverse transforms have an infinite number of points of finite discontinuity with different left- and right-side limits. The points of singularity and points of finite discontinuity alternate, and the sign of the infinity at the singular points also alternates depending on the order n. The behavior of the inverse transforms in the proximity of the singular points and the points of finite discontinuity is addressed as well.
Postcards from the Edge, or Snapshots of the Theory of Generalised Moonshine
Authors: Gannon Terry 
Published: December 2010

AbstractWe begin by reviewing Monstrous Moonshine. The impact of Moonshine on algebra has been profound, but so far it has had little to teach number theory. We introduce (using ‘postcards’) a much larger context in which Monstrous Moonshine naturally sits. This context suggests Moonshine should indeed have consequences for number theory. We provide some humble examples of this: new generalisations of Gauss sums and quadratic reciprocity.
Multi-Sided Braid Type Subfactors, II
Authors: Erlijman Juliana 
Published: December 2010

AbstractWe show that the multi-sided inclusion R⊗l ⊂ R of braid-type subfactors of the hyperfinite II1 factor R, introduced in Multi-sided braid type subfactors [E3], contains a sequence of intermediate subfactors: R⊗l ⊂ R⊗l−1 ⊂ … ⊂ R⊗2 ⊂ R. That is, every t-sided subfactor is an intermediate subfactor for the inclusion R⊗l ⊂ R, for 2 ≤ t ≤ l. Moreover, we also show that if t > m then R⊗t ⊂ R⊗m is conjugate to R⊗t−m+1 ⊂ R. Thus, if the braid representation considered is associated to one of the classical Lie algebras then the asymptotic inclusions for the Jones-Wenzl subfactors are intermediate subfactors.
Cercles de remplissage for the Riemann Zeta Function
Authors: Gauthier P. M. 
Published: December 2010

AbstractThe celebrated theorem of Picard asserts that each non-constant entire function assumes every value infinitely often, with at most one exception. The Riemann zeta function has this Picard behaviour in a sequence of discs lying in the critical band and whose diameters tend to zero. According to the Riemann hypothesis, the value zero would be this (unique) exceptional value.
Sur les invariants d'Iwasawa des tours cyclotomiques
Authors: Jaulent Jean-François , Maire Christian 
Published: December 2010

AbstractWe carry out the computation of the Iwasawa invariantsassociated to abelianT-ramifiedS-decomposedℓ-extensions over the finite stepsKnof the cyclotomic-extensionK∞/Kof a number field of CM-type.
Branched Covers of Tangles in Three-balls
Authors: Ishiwata Makiko , Przytycki Józef H. , Yasuhara Akira 
Published: December 2010

AbstractWe give an algorithm for a surgery description of a p-fold cyclic branched cover of B3 branched along a tangle. We generalize constructions of Montesinos and Akbulut-Kirby.
Approximating Positive Polynomials Using Sums of Squares
Authors: Marshall M. 
Published: December 2010

AbstractThe paper considers the relationship between positive polynomials, sums of squares and the multi-dimensional moment problem in the general context of basic closed semi-algebraic sets in realn-space. The emphasis is on the non-compact case and on quadratic module representations as opposed to quadratic preordering presentations. The paper clarifies the relationship between known results on the algebraic side and on the functional-analytic side and extends these results in a variety of ways.
Strongly Perforated K0-Groups of Simple C*-Algebras
Authors: Toms Andrew 
Published: December 2010

AbstractIn the sequel we construct simple, unital, separable, stable, amenable C*-algebras for which the ordered K0-group is strongly perforated and group isomorphic to Z. The particular order structures to be constructed will be described in detail below, and all known results of this type will be generalised.
On the Composition of Differentiable Functions
Authors: Bachir M. , Lancien G. 
Published: December 2010

AbstractWe prove that a Banach space X has the Schur property if and only if every X-valued weakly differentiable function is Fréchet differentiable. We give a general result on the Fréchet differentiability of f ○ T, where f is a Lipschitz function and T is a compact linear operator. Finally we study, using in particular a smooth variational principle, the differentiability of the semi norm ‖ ‖lip on various spaces of Lipschitz functions.
Weakly Stable Relations and Inductive Limits ofC*-algebras
Authors: Monteiro Martha Salerno 
Published: December 2010

AbstractWe show that ifAis a class ofC*-algebras for which the set of formal relationsRis weakly stable, thenRis weakly stable for the classBthat containsAand all the inductive limits that can be constructed with theC*-algebras inA.A set of formal relationsRis said to beweakly stablefor a classofC*-algebras if, in anyC*-algebra A ∈, close to an approximate representation of the setRinAthere is an exact representation ofRinA.
Point Sets and Dynamical Systems In the Autocorrelation Topology
Authors: Moody Robert V. , Strungaru Nicolae 
Published: December 2010

AbstractThis paper is about the topologies arising from statistical coincidence on locally finite point sets in locally compact Abelian groupsG. The first part defines a uniform topology (autocorrelation topology) and proves that, in effect, the set of all locally finite subsets ofGis complete in this topology. Notions of statistical relative denseness, statistical uniform discreteness, and statistical Delone sets are introduced.The second part looks at the consequences of mixing the original and autocorrelation topologies, which together produce a new Abelian group, the autocorrelation group. In particular the relation between its compactness (which leads then to aG-dynamical system) and pure point diffractivity is considered. Finally for generic regular model sets it is shown that the autocorrelation group can be identified with the associated compact group of the cut and project scheme that defines it. For such a set the autocorrelation group, as aG-dynamical system, is a factor of the dynamical local hull.
Invariant Subspaces on 𝕋Nand ℝN
Authors: Seto Michio 
Published: December 2010

AbstractLetNbe an integer which is larger than one. In this paper we study invariant subspaces of L2() under the double commuting condition. A main result is anN-dimensional version of the theorem proved byMandrekar and Nakazi. As an application of this result, we have anN-dimensional version of Lax's theorem.
Recurrent Geodesics in Flat Lorentz 3-Manifolds
Authors: Charette Virginie , Goldman William M. , Jones Catherine A. 
Published: December 2010

AbstractLet M be a complete flat Lorentz 3-manifold M with purely hyperbolic holonomy Γ. Recurrent geodesic rays are completely classified when Γ is cyclic. This implies that for any pair of periodic geodesics γ1, γ2, a unique geodesic forward spirals towards γ1 and backward spirals towards γ2.
On the Diophantine Equation n(n + d) · · · (n + (k − 1)d) = byl
Authors: Győry K. , Hajdu L. , Saradha N. 
Published: December 2010

AbstractWe show that the product of four or five consecutive positive terms in arithmetic progression can never be a perfect power whenever the initial term is coprime to the common difference of the arithmetic progression. This is a generalization of the results of Euler and Obláth for the case of squares, and an extension of a theorem of Győry on three terms in arithmetic progressions. Several other results concerning the integral solutions of the equation of the title are also obtained. We extend results of Sander on the rational solutions of the equation in n, y when b = d = 1. We show that there are only finitely many solutions in n, d, b, y when k ≥ 3, l ≥ 2 are fixed and k + l > 6.
A Characterization of PSU11(q)
Authors: Iranmanesh A. , Khosravi B. 
Published: December 2010

AbstractOrder components of a finite simple group were introduced in [4]. It was proved that some non-abelian simple groups are uniquely determined by their order components. As the main result of this paper, we show that groups PSU11(q) are also uniquely determined by their order components. As corollaries of this result, the validity of a conjecture of J. G. Thompson and a conjecture of W. Shi and J. Bi both on PSU11(q) are obtained.
Compactness of Hardy-Type Operators over Star-Shaped Regions in
Authors: Jain Pankaj , Jain Pawan K. , Gupta Babita 
Published: December 2010

AbstractWe study a compactness property of the operators between weighted Lebesgue spaces that average a function over certain domains involving a star-shaped region. The cases covered are (i) when the average is taken over a difference of two dilations of a star-shaped region in , and (ii) when the average is taken over all dilations of star-shaped regions in . These cases include, respectively, the average over annuli and the average over balls centered at origin.
C*-Algebras and Factorization Through Diagonal Operators
Authors: Randrianantoanina Narcisse 
Published: December 2010

AbstractLet A be a C*-algebra and E be a Banach space with the Radon-Nikodym property. We prove that if j is an embedding of E into an injective Banach space then for every absolutely summing operator T : A → E, the composition j ○ T factors through a diagonal operator from l2 into l1. In particular, T factors through a Banach space with the Schur property. Similarly, we prove that for 2 < p < ∞, any absolutely summing operator from A into E factors through a diagonal operator from lp into l2.
Non-Left-Orderable 3-Manifold Groups
Authors: Dąbkowski Mieczysław K. , Przytycki Józef H. , Togha Amir A. 
Published: December 2010

AbstractWe show that several torsion free 3-manifold groups are not left-orderable. Our examples are groups of cyclic branched coverings of S3 branched along links. The figure eight knot provides simple nontrivial examples. The groups arising in these examples are known as Fibonacci groups which we show not to be left-orderable. Many other examples of non-orderable groups are obtained by taking 3-fold branched covers of S3 branched along various hyperbolic 2-bridge knots. The manifold obtained in such a way from the 52 knot is of special interest as it is conjectured to be the hyperbolic 3-manifold with the smallest volume.
On the Ranges of Bimodule Projections
Authors: Katavolos Aristides , Paulsen Vern I. 
Published: December 2010

AbstractWe develop a symbol calculus for normal bimodule maps over a masa that is the natural analogue of the Schur product theory. Using this calculus we are easily able to give a complete description of the ranges of contractive normal bimodule idempotents that avoids the theory of J*-algebras. We prove that if P is a normal bimodule idempotent and then P is a contraction. We finish with some attempts at extending the symbol calculus to non-normal maps.
Necessary and Sufficient Conditions for the Central Norm to Equal 2h in the Simple Continued Fraction Expansion of √2hc for Any Odd c > 1
Authors: Mollin R. A. 
Published: December 2010

AbstractWe look at the simple continued fraction expansion of √D for any D = 2hc where c > 1 is odd with a goal of determining necessary and sufficient conditions for the central norm (as determined by the infrastructure of the underlying real quadratic order therein) to be 2h. At the end of the paper, we also address the case where D = c is odd and the central norm of √D is equal to 2.
Geometry and Arithmetic of Certain Double Octic Calabi–Yau Manifolds
Authors: Cynk Sławomir , Meyer Christian 
Published: December 2010

AbstractWe study Calabi–Yau manifolds constructed as double coverings of ℙ3 branched along an octic surface. We give a list of 87 examples corresponding to arrangements of eight planes defined over ℚ. The Hodge numbers are computed for all examples. There are 10 rigid Calabi–Yau manifolds and 14 families with h1,2 = 1. The modularity conjecture is verified for all the rigid examples.
Krull Dimension of Injective Modules Over Commutative Noetherian Rings
Authors: Smith Patrick F. 
Published: December 2010

AbstractLet R be a commutative Noetherian integral domain with field of fractions Q. Generalizing a forty-year-old theorem of E. Matlis, we prove that the R-module Q/R (or Q) has Krull dimension if and only if R is semilocal and one-dimensional. Moreover, if X is an injective module over a commutative Noetherian ring such that X has Krull dimension, then the Krull dimension of X is at most 1.
Enlarged Inclusion of Subdifferentials
Authors: Thibault Lionel , Zagrodny Dariusz 
Published: December 2010

AbstractThis paper studies the integration of inclusion of subdifferentials. Under various verifiable conditions, we obtain that if two proper lower semicontinuous functions f and g have the subdifferential of f included in the γ-enlargement of the subdifferential of g, then the difference of those functions is γ-Lipschitz over their effective domain.
On Non-Vanishing of Convolution of Dirichlet Series
Authors: Akbary Amir , Shahabi Shahab 
Published: December 2010

AbstractWe study the non-vanishing on the line Re(s) = 1 of the convolution series associated to two Dirichlet series in a certain class of Dirichlet series. The non-vanishing of various L-functions on the line Re(s) = 1 will be simple corollaries of our general theorems.
Exact Filling of Figures with the Derivatives of Smooth Mappings Between Banach Spaces
Authors: Azagra D. , Fabian M. , Jiménez-Sevilla M. 
Published: December 2010

AbstractWe establish sufficient conditions on the shape of a set A included in the space (X, Y ) of the n-linear symmetric mappings between Banach spaces X and Y , to ensure the existence of a Cn-smooth mapping f: X → Y, with bounded support, and such that f(n)(X) = A, provided that X admits a Cn-smooth bump with bounded n-th derivative and dens X = dens ℒn(X, Y ). For instance, when X is infinite-dimensional, every bounded connected and open set U containing the origin is the range of the n-th derivative of such amapping. The same holds true for the closure of U, provided that every point in the boundary of U is the end point of a path within U. In the finite-dimensional case, more restrictive conditions are required. We also study the Fréchet smooth case for mappings from ℝn to a separable infinite-dimensional Banach space and the Gâteaux smooth case for mappings defined on a separable infinite-dimensional Banach space and with values in a separable Banach space.
Angle Measures and Bisectors in Minkowski Planes
Authors: Düvelmeyer Nico 
Published: December 2010

AbstractWe prove that a Minkowski plane is Euclidean if and only if Busemann's or Glogovskij's definitions of angular bisectors coincide with a bisector defined by an angular measure in the sense of Brass. In addition, bisectors defined by the area measure coincide with bisectors defined by the circumference (arc length) measure if and only if the unit circle is an equiframed curve.
On the Error Term in Duke's Estimate for the Average Special Value of L-Functions
Authors: Ellenberg Jordan S. 
Published: December 2010

AbstractLet be an orthonormal basis for weight 2 cusp forms of level N. We show that various weighted averages of special values L( f ⭙ χ, 1) over f ∈ are equal to 4πc +O(N–1+∊), where c is an explicit nonzero constant. A previous result of Duke gives an error term of O(N–1/2 log N).
The Ganea and Whitehead Variants of the Lusternik–Schnirelmann Category
Authors: Doeraene Jean-Paul , El Haouari Mohammed 
Published: December 2010

AbstractThe Lusternik–Schnirelmann category has been described in different ways. Two major ones, the first by Ganea, the second by Whitehead, are presented here with a number of variants. The equivalence of these variants relies on the axioms of Quillen's model category, but also sometimes on an additional axiom, the so-called “cube axiom”.
Embeddings and Duality Theorems for Weak Classical Lorentz Spaces
Authors: Gogatishvili Amiran , Pick Luboš 
Published: December 2010

AbstractWe characterize the weight functions u, v, w on (0,∞) such thatwhereAs an application we present a new simple characterization of the associate space to the space Γ∞(v), determined by the normwhere
Real Hypersurfaces in Complex Two-Plane Grassmannians with Vanishing Lie Derivative
Authors: Suh Young Jin 
Published: December 2010

AbstractIn this paper we give a characterization of real hypersurfaces of type A in a complex two-plane Grassmannian G2(ℂm+2) which are tubes over totally geodesic G2(ℂm+1) in G2(ℂm+2) in terms of the vanishing Lie derivative of the shape operator A along the direction of the Reeb vector field ξ.
A Bernstein–Walsh Type Inequality and Applications
Authors: Neelon Tejinder 
Published: December 2010

AbstractA Bernstein–Walsh type inequality forC∞functions of several variables is derived, which then is applied to obtain analogs and generalizations of the following classical theorems: (1) Bochnak– Siciak theorem: aC∞function on ℝnthat is real analytic on every line is real analytic; (2) Zorn–Lelong theorem: if a double power seriesF(x,y) converges on a set of lines of positive capacity thenF(x,y) is convergent; (3) Abhyankar–Moh–Sathaye theorem: the transfinite diameter of the convergence set of a divergent series is zero.
Correction to a Theorem on Total Positivity
Authors: Ragnarsson Carl Johan , Suen Wesley Wai , Wagner David G. 
Published: December 2010

AbstractA well-known theorem states that iff(z) generates a PFrsequence then 1/f(–z) generates a PFrsequence. We give two counterexamples which show that this is not true, and give a correct version of the theorem. In the infinite limit the result is sound: iff(z) generates a PF sequence then 1/f(–z) generates a PF sequence.
Homotopy Equivalence and Groups of Measure-Preserving Homeomorphisms
Authors: Berlanga R. 
Published: December 2010

AbstractIt is shown that the group of compactly supported, measure-preserving homeomorphisms of a connected, second countable manifold is locally contractible in the direct limit topology. Furthermore, this group is weakly homotopically equivalent to the more general group of compactly supported homeomorphisms.
On the Principal Eigencurve of thep-Laplacian: Stability Phenomena
Authors: El Khalil Abdelouahed , El Manouni Said , Ouanan Mohammed 
Published: December 2010

AbstractWe show that each point of the principal eigencurve of the nonlinear problem–Δpu– λm(x)|u|p–2u= μ|u|p–2uin Ω,is stable (continuous) with respect to the exponentpvarying in (1,∞); we also prove some convergence results of the principal eigenfunctions corresponding.