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

Bibliography

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. Séminaire de Géométrie Algébrique du Bois-Marie, Vol. 1–7, Berlin: Springer-Verlag.

5

Alexander Grothendieck. 1962. Séminaires en Géométrie Algébrique du Bois-Marie, Vol. 2 - Cohomologie Locale des Faisceaux Cohèrents et Théorèmes de Lefschetz Locaux et Globaux. , pp.287. (with an additional contributed exposé by Mme. Michele Raynaud). Typewritten manuscript available in French; see also a brief summary in English

6

Alexander Grothendieck. 1957, Sur Quelques Points d'algèbre 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 freely available in French; also available here is an extensive 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 à travers la théorie 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. 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. Fundamental groups of moduli and the Grothendieck-Teichmüller 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, Descent and Galois Theory, Outline of a three-lecture series presented in Belgium, in June 2007.

15

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

16

J.S. Milne. 1993, “Algebraic Geometry- Lecture notes for Math 631” , taught at the University of Michigan, Fall 1993.

17

Allen Hatcher. 2008a, Spectral Sequences in Algebraic Topology Ch.1 (J.P.) Serre Spectral Sequence

18

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

18

Allen Hatcher. 2008c, Vector Bundles and K-Theory, (v. also Extended Abstract)