references list for homological algebra, algebraic geometry and algebraic topology

references list for homological algebra, algebraic geometry and algebraic topology

1

A Reference (partial) List for Homological Algebra, Algebraic Geometry and Algebraic Topology:

References

1

Alexander Grothendieck

. 1971, Revêtements Étales et Groupe Fondamental (SGA1),
chapter VI: Catégories fibrées et descente,

Lecture Notes in Math.

224

, Springer–Verlag: Berlin.

2

Alexander Grothendieck. 1957, Sur quelque point d-algébre homologique. ,

Tohoku Math. J.

,

9:

119-121.

3

Alexander Grothendieck and J. Dieudonné.: 1960, Eléments de geometrie algébrique.,

Publ. Inst. des Hautes Etudes de Science

,

4

.

4

Alexander Grothendieck et al.,1971. SÃÂ©minaire de GÃÂ©omÃÂ©trie AlgÃÂ©brique du Bois-Marie, Vol. 1–7, Berlin: Springer-Verlag.

5

Alexander Grothendieck. 1962. SÃÂ©minaires en GÃÂ©omÃÂ©trie AlgÃÂ©brique du Bois-Marie, Vol. 2 - Cohomologie Locale des Faisceaux CohÃÂ¨rents et ThÃÂ©orÃÂ¨mes de Lefschetz Locaux et Globaux. , pp.287. (with an additional contributed exposé by Mme. Michele Raynaud).

http://modular.fas.harvard.edu/sga/sga/2/index.html

Typewritten manuscript available in French;

http://

planetmath

.org/?op=getobj&from=books&id=78

see also a brief summary in English

6

Alexander Grothendieck. 1957, Sur Quelques Points d’algÃÂ¨bre homologique,

Tohoku Mathematics Journal

, 9, 119–221.

7

Alexander Grothendieck et al.

Séminaires en Géometrie Algèbrique- 4

, Tome 1, Exposé 1
(or the Appendix to Exposée 1, by ‘N.

Bourbaki

’ for more detail and a large number of results.
AG4 is

http://modular.fas.harvard.edu/sga/sga/pdf/index.html

freely available in French;
also available here is an extensive

http://planetmath.org/?op=getobj&from=books&id=158

Abstract in English.

8

Alexander Grothendieck, 1984. “Esquisse d’un Programme”, (1984 manuscript),

finally published in “Geometric Galois Actions”

, L. Schneps, P. Lochak, eds.,

London Math. Soc. Lecture Notes

242

, Cambridge University Press, 1997, pp.5-48;
English transl., ibid., pp. 243-283. MR 99c:14034 .

9

Alexander Grothendieck, “La longue marche in ÃÂ travers la thÃÂ©orie de Galois”

= “The Long March Towards/Across the Theory of Galois”

, 1981 manuscript, University of Montpellier preprint series 1996, edited by J. Malgoire.

10

Leila Schneps. 1994.

http://planetmath.org/?op=getobj&from=books&id=163

The Grothendieck Theory of Dessins d’Enfants.
(

London Mathematical Society

Lecture Note Series), Cambridge University Press, 376 pp.

11

David Harbater and Leila Schneps. 2000.

http://www.ams.org/tran/2000-352-07/S0002-9947-00-02347-3/home.html

Fundamental groups

of moduli and the Grothendieck-TeichmÃÂ¼ller group,

Trans. Amer. Math. Soc

. 352 (2000), 3117-3148.
MSC:

Primary

11R32, 14E20, 14H10; Secondary 20F29, 20F34, 32G15.

12

J. P. Serre. 1964.

Cohomologie Galoisienne

, Springer-Verlag: Berlin.

13

J. L. Verdier. 1965.

Algèbre homologiques et Catégories derivées

. North Holland Publ. Cie.

14

G. Janelidze, 2007,

http://planetmath.org/?op=getobj&from=books&id=168

Descent and

Galois Theory

, Outline of a three-lecture series presented in Belgium, in June 2007.

15

Yves Laszlo.

http://planetmath.org/?op=getobj&from=books&id=167

Descent Cohomologique,
Monograph, Preprint: “Cohmology Descent theory”; pp.43, (orig. in French).

16

J.S. Milne. 1993,

http://planetmath.org/?op=getobj&from=lec&id=22

“

Algebraic

Geometry- Lecture notes for Math 631”
, taught at the University of Michigan, Fall 1993.

17

Allen Hatcher. 2008a,

http://planetmath.org/?op=getobj&from=books&id=95

Spectral Sequences

in

Algebraic Topology

http://www.math.cornell.edu/ hatcher/SSAT/SSch1.pdf

Ch.1 (J.P.) Serre Spectral Sequence

18

Allen Hatcher. 2008b,
Allen Hatcher’s Book Projectshttp://www.math.cornell.edu/ hatcher/

19

Allen Hatcher. 2008c,

http://www.math.cornell.edu/ hatcher/VBKT/VB.pdf

Vector Bundles

and

K-Theory

,
(v. also

http://planetmath.org/?op=getobj&from=books&id=169

Extended Abstract)

Title

references list for homological algebra,

algebraic geometry

and algebraic topology

Canonical

name

ReferencesListForHomologicalAlgebraAlgebraicGeometryAndAlgebraicTopology

Date of creation

2013-03-22 18:22:21

Last modified on

2013-03-22 18:22:21

Owner

bci1 (20947)

Last modified by

bci1 (20947)

Numerical id

15

Author

bci1 (20947)

Entry type

Bibliography

Classification

msc 12F10

Classification

msc 14A22

Classification

msc 14A20

Classification

msc 18-00

Classification

msc 03G20

Classification

msc 03G12

Classification

msc 11-00

Classification

msc 14-01

Classification

msc 03G30

Classification

msc 00A15

Synonym

references on algebraic geometry

Related topic

AlexanderGrothendiecksAvailableSeminarsAndBooks

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