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"An analogue of Torelli's theorem for Kummer surfaces of Jacobians," Math. USSR Izv. 8 (1974), 21--41.
 "On Kummer surfaces, " Math. USSR Izv. 9 (1975), 261--275.
 "Finite automorphism groups of K\"ahlerian surfaces of type K3," Trans. Moscow Math. Soc. 38 (1980), No 2, 71--135.
 (with I.V. Dolgachev) "Exceptional singularities of V.I. Arnol'd and K3-surfaces." 7th All-Soviet Union Topol. Conf. Minsk (1977). Thesises of reports. Math. Institute AN BSSR, Minsk 1977.
 "Integral symmetric bilinear forms and some of their geometric applications," Math. USSR Izv. 14 (1980), 103--167.
 "On factor groups of the automorphism groups of hyperbolic forms modulo subgroups generated by 2-reflections," Soviet Math. Dokl. 20 (1979), 1156--1158.
 "On quotient groups of the automorphism groups of hyperbolic forms by the subgroups generated by 2-reflections. Algebraic-geometric applications," J. Soviet Math.22 (1983), 1401--1476.
 "On arithmetic groups generated by reflections in Lobachevsky spaces," Math. USSR Izv. 16 (1981),573--601.
 "On classification of arithmetic groups generated by reflections in Lobachevsky spaces," Math. USSR Izv. 18 (1982),99--123.
 "Involutions of integral quadratic forms and their applications to real algebraic geometry," Math. USSR Izv. 22 (1984), 99--172.
 "On a description of the automorphism groups of Enriques surfaces," Soviet Math. Dokl. 30 (1984), 282--285.
 "Surfaces of type K3 with finite automorphism group and Picard group of rank three,"
Proc. Steklov. Inst. of Math. 3 (1985), 131--157.
 "Filtrations of 2-elementary forms and involutions of integral symmetric and skew symmetric bilinear forms," Math. USSR Izv. 49 (1986), 159--182.
 "Discrete reflection groups in Lobachevsky spaces and algebraic surfaces,'' Proceedings of the International Congress of Mathematicians Berkeley, California, USA, 1986, 654--671.
 (With I.R. Shafarevich) "Geometries and Groups" Universitext, Springer Verlag, 1987, 250 pages.
 "On correspondences between surfaces of K3 type," USSR Izv. 30 (1988), 375--383.
 (with V.A.Alekseev) "Classification of del Pezzo surfaces with log-terminal singularities of index $\le 2$ , and involutions on K3 surfaces," Soviet Math. Dokl. 39 (1989), 507--511.
 "Del Pezzo surfaces with log-terminal singularities. II," Math. USSR Izv. 33 (1989), 355--372.
 "Algebraic surfaces with log-terminal singularities and nef anticanonical class and reflection groups in Lobachevsky spaces," Preprint Max-Planck-Institut f\"ur Mathematik Bonn, MPI/89---28 (1989), 100 pp.
 "Del Pezzo surfaces with log-terminal singularities," Math. USSR Sb. 66 (1990), 231--248.
 "Del Pezzo surfaces with log-terminal singularities. III," Math. USSR Izv. 35 (1990), 657--675.
 "Algebraic 3-folds and the diagram method," Math USSR Izv. 37 (1991), 157--189.
 "The remark on arithmetic groups generated by reflections in Lobachevsky spaces," Preprint Max-Planck-Institut f\"ur Mathematik Bonn. MPI/91 (1991).
 "On rational maps between K3 surfaces," In Constantin Carath\'eodory: an international tribute, Vol. I, II, p. 946-995, World Sci. Publishing, Teaneck, NJ 1991.
 "Weil linear systems on singular K3 surfaces,'' Algebraic geometry and analytic geometry (Tokyo, 1990), 138--164, ICM-90 Satell. Conf. Proc., Springer, Tokyo, 1991.
 (with R. Sujatha) "On Brauer groups of real Enriques surfaces", J. reine angew. Math. 444 (1993), 115--154.
 "On the Brauer group of real algebraic surfaces", Algebraic Geometry and its applications, Aspects of Mathematics, Vieweg Publ. E; Vol. 25 (1994), 113--136.
 "On the Picard number of Fano 3-folds with terminal singularities", J. Math. Kyoto Univ., 34 (1994), no 3, 495--529.
 "A lecture on the Kac--Moody Lie algebras of the arithmetic type", Preprint 1994--16 of Queen's University at Kingston, 1994. (see also Duke e-prints, alg-geom/9412003).
 (with V.A. Gritsenko) "Siegel automorphic form correction of a Lorentzian Kac--Moody algebra" C. R. Acad. Sci. Paris S\'er. A--B. 321 (1995), 1151--1156.
 "On the topological classification of real Enriques surfaces", Amer. Math. Soc. Transl., 173 (1996), no 2, 187--201.
 "Basis of the diagram method for generalized reflection groups in Lobachevsky spaces and algebraic surfaces with nef anticanonical class", Intern. J. Mathem. 7 (1996), no 1, 71--108.
 "Diagram method for 3-folds and its application to K\"ahler cone and Picard number of Calabi-Yau 3-folds. I." Higher dimensional complex varieties: Proc. of Intern. Confer. held in Trento, Italy, June 15-24, 1994. (eds. M. Andreatta, Th. Peternell) de Gruyter, 1996, 261--328.
 "Reflection groups in Lobachevsky spaces and denominator identity for Lorentzian Kac--Moody algebras." Izv. AN Russia. Ser. Mat. 60 (1996), no. 2, 73--106 (see also Duke e-prints, alg-geom/9503003).
 (with V.A. Gritsenko) "K3 surfaces, Lorentzian Kac--Moody algebras and mirror symmetry." Math. Res. Let. 3 (1996), no. 2, 211--229. (see also Duke e-prints alg-geom/9510008).
 "The remark on discriminants of K3 surfaces moduli as sets of zeros of automorphic forms." , J. of Mathematical Sciences, V. 81, no 3, September 1996 (volume dedicated to Yu.I. Manin), pp. 2738--2743 (Plenum Press). (see also Duke e-prints, alg-geom/9512018).
 (with V.A. Gritsenko) "Igusa modular forms and "the simplest" Lorentzian Kac--Moody algebras." Sbornik: Mathematics 187 (1996), no 11, 1601--1641. (see also Duke e-prints, alg-geom/9603010).
 (with V.A. Gritsenko) "Automorphic forms and Lorentzian Kac--Moody algebras. Part I." Int. J. Math. 9 (1998), no 2, 153--199. (see also Duke e-prints, alg-geom/9610022).
 (with V.A. Gritsenko) "Automorphic forms and Lorentzian Kac--Moody algebras. Part II." Int. J. Math. 9 (1998), no 2, 201--275. (see also Duke e-prints, alg-geom/9611028).
 "A theory of Lorentzian Kac--Moody algebras", Trudy Mezhdunar. konf., posvyashch. 90-letiyu so dnya rozhdeniya L.S. Pontryagina, T. 8: Algebra (Proc. Int. Conf. Devoted to the 90-th Anniversary of L.S. Pontryagin, Vol. 8: Algebra), Moscow: VINITI, 1999, 148-167 (Itogi nauki i tekhniki. Sovremennaya matematika i ee prilozheniya. Tematicheskie obzory, vol. 69). (see also E-prints, math.AG/ 9810001). TeX File (48K).
 (with V.A. Gritsenko) "The arithmetic mirror symmetry and Calabi--Yau manifolds." Commun. Math. Phys. 210 (2000), 1-11. (see also Duke e-prints, alg-geom/9612002).
 "A remark on algebraic surfaces with polyhedral Mori cone", Nagoya Math. J. 157 (2000), 73-92. (see also e-prints, math.AG/9806047). TeX File (60K).
 "On the classification of hyperbolic root systems of rank three." Proc. Steklov Institute of Mathematics, V. 230 (2000), 241 pages. (see also alg-geom/9711032; alg-geom/9712033; math.AG/9905150). TeX File (780K).
 (with V.A. Gritsenko) "On classification of Lorentzian Kac-Moody algebras." Russian Math. Surveys 57 (2002), no. 5, 921-979. (see also math.QA/0201162).
 (with Carlo Madonna) "On a classical correspondence between K3 surfaces." Proc. Steklov Math. Institute V. 241 (2003), 120-153. (see also math.AG/0206158).
 (with Carlo Madonna) "On a classical correspondence between K3 surfaces. II." Strings and geometry, 285-300, Clay Math. Proc., V. 3, Amer. Math. Soc., Providence, RI, 2004. (see also math.AG/0304415).
 "On algebraic varieties with finite polyhedral Mori cone." The Fano Conference, 573-589, Univ. Torino, Turin, 2004. (see also math.AG/0305040).
 "On correspondences of a K3 surface with itself. I." Proc. Steklov Math. Institute V. 246 (2004), 204-226. (see also arXiv:math/0307355).
 "On correspondences of a K3 surface with itself. II."
V. 422, 2007, Amer. Math. Soc., pages 121-172.
Japan Memoirs (MSJ Memoirs), Vol. 15 (2006), xvi+149 pages.
 "On connected components of moduli of real polarized K3 surfaces."
 "Correspondences of a K3 surface with itself via moduli of sheaves. I." Algebra, Arithmetic, and Geometry (in honor of Yu.I. Manin), Vol. II, Progress in Mathematics 270, (2009), 439 - 464. (see also arXiv:math/0609233).
 "Finiteness of the number of arithmetic groups generated by reflections in Lobachevsky spaces." Izvestiya: Mathematics 71 (2007), no. 1, pages 53-56. (see also arXiv:math/0609256).
 "On ground fields of arithemtic hyperbolic reflection groups. II." Moscow Math. J. 8 (2008), no. 4, 789-812.
 "Elliptic fibrations on K3 surfaces." Preprint 2012, 21 pages. arXiv:math/1010.3904v4 .
 "Kahlerian K3 surfaces and Niemeier lattices." Preprint 2013, 88 pages. arXiv:math/1109.2879v7 .
 "Degenerations of Kahlerian K3 surfaces with finite symplectic automorphism groups." Izvestiya: Mathematics 79:4, 2015, 740-794.
pp. 421 -- 471. (see also arXiv:math/1109.2879v7).
 "Classification of Picard lattices of K3 surfaces." Preprint 2017. 68 pages. arXiv:1707.05677v2.
 (with V.A. Gritsenko) "Lorentzian Kac--Moody algebras with Weyl groups of 2-reflections." Proc. London Mathematical Society 116 (2018), issue 3, 485--533 (see also arXiv:1602.08359).

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