algebraic geometry and algebraic topology references list for homological algebra
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Alexander Grothendieck. 1971, Revêtements Étales et Groupe Fondamental (SGA1),
chapter VI: Catégories fibrées et descente, Lecture Notes in Math.
224, Springer-Verlag: Berlin.
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Alexander Grothendieck. 1957, Sur quelque point d-algébre homologique. , Tohoku Math. J., 9: 119-121.
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Alexander Grothendieck and J. Dieudonné.: 1960, Eléments de geometrie algébrique., Publ. Inst. des Hautes Etudes de Science, 4.
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Alexander Grothendieck et al.,1971. Séminaire de Géométrie Algébrique du Bois-Marie, Vol. 1-7, Berlin: Springer-Verlag.
- 5
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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
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Alexander Grothendieck. 1957, Sur Quelques Points d'algèbre homologique, Tohoku Mathematics Journal, 9, 119-221.
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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
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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 .
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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.
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Leila Schneps. 1994.
The Grothendieck Theory of Dessins d'Enfants.
(London Mathematical Society Lecture Note Series), Cambridge University Press, 376 pp.
- 11
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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.
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J. P. Serre. 1964. Cohomologie Galoisienne, Springer-Verlag: Berlin.
- 13
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J. L. Verdier. 1965. Algèbre homologiques et Catégories derivées. North Holland Publ. Cie.
- 14
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G. Janelidze, 2007, Descent and Galois Theory, Outline of a three-lecture series presented in Belgium, in June 2007.
- 15
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Yves Laszlo. Descent Cohomologique,
Monograph, Preprint: ``Cohmology Descent theory''; pp.43, (orig. in French).
- 16
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J.S. Milne. 1993,
``Algebraic Geometry- Lecture notes for Math 631''
, taught at the University of Michigan, Fall 1993.
- 17
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Allen Hatcher. 2008a,
Spectral Sequences in Algebraic Topology
Ch.1 (J.P.) Serre Spectral Sequence
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Allen Hatcher. 2008b,
Allen Hatcher's Book Projectshttp://www.math.cornell.edu/ hatcher/
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Allen Hatcher. 2008c, Vector Bundles and K-Theory,
(v. also Extended Abstract)
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