Complete bibliography of Grothendieck's published mathematical writings

Links to EGA
Those which are not yet available are due to problems with Numdam.

• EGA I (NA)
• EGA II
• EGA III,1   EGA III,2.

• EGA IV,1 (NA)  EGA IV,2 (NA)  EGA IV,3 (NA)  EGA IV,4 (NA)

 

• A translation of the prenotes for EGA V into English by Piotr Blass and Joseph Blass.
  EGA V 1 and two subsections of EGA V 2  (formerly numbered EGA IV 16 and EGA IV 17.15, 17.16) (revision in progress).
  EGA V 5  (formerly numbered EGA IV 20), containing 15 subsections. An improved, revised and completed version of this part by P. Blass and Stan Klasa was published in the Ulam Quarterly Journal, see next link.
  EGA V 6  (formerly numbered EGA IV 21), containing 4 subsections. These texts have not been proofread; there are many typos.
  EGA V, another version, in pdf format.
• Ulam Quarterly Journal - Piotr Blass and Stan Klasa revised and published the prenotes for the whole of the 15 sections of EGA V 5 (former EGA IV 20) in this journal, distributed as follows: Vol. I(1): subsections 1-3,  Vol. I(2): subsections 4-7,   Vol. I(3): subsection 8,  Vol. I(4): subsections 9-12,  Volume II(1): subsection 13,  Volume II(2): subsection 14,  Volume III(1): subsection 15.

Links to SGA

• Complete scans of all volumes of SGA with the exception of SGA 5 which is here, but it is advisable to download it because it appears too large to visualize on the screen.
• SGA 1 in Tex- A project directed by Bas Edixhoven to typeset all of SGA.
• SGA 2 in Tex- SGA 2 is now also available.

Link to FGA

• Fondements de la Géométrie Algébrique (FGA) - A collection of Grothendieck's Bourbaki Seminar exposés (1957-1962, 208 pages). Contents: Théorème de dualité pour les faisceaux algébriques cohérents; Géométrie formelle et géométrie algébrique; Technique de descente et théorèmes d'existence en géométrie algébrique (I-VI).

Links to various articles

• Grothendieck's Numdam entry
• Résumé des résultats essentiels dans la théorie des produits tensoriels topologiques et des espaces nucléaires., Annales Inst. Fourier 4, 1952.
• La théorie de Fredholm. Bulletin de la SMF 84, 1956.
• Généralités sur les groups algébriques affines. Groupes algébriques commutatifs., Séminaire Chevalley No. 14, 1956-1958.
• Faisceaux algébriques et faisceaux analytiques cohérents, Séminaire Cartan No. 9, 1957.
• La théorie des classes de Chern., Bulletin de la SMF 86, 1958.
• Sur quelques propriétés fondamentales en théorie des intersections. Séminaire Chevalley 3, 1958.
• Torsion homologique et sections rationnelles. Séminaire Chevalley 3, 1958.
• The Cohomology Theory of Abstract Algebraic Varieties,  Proceedings of the ICM, August 1958, Edinburgh. Published by Cambridge University Press, 1960.
• Techniques de construction en géométrie analytique. IV. Formalisme général des foncteurs représentables. Séminaire Cartan 13, 1960-61.
• Techniques de construction en géométrie analytique. V. Fibrés vectoriels, fibrés projectifs, fibrés en drapeaux. Séminaire Cartan 13, 1960-61.
• Techniques de construction en géométrie analytique. IX. Quelques problémes de modules. Séminaire Cartan 13, 1960-61.
• On the de Rham cohomology of algebraic varieties., Publications Math. IHES 29, 1966.
• Standard Conjectures on Algebraic Cycles, , Algebraic Geometry, Bombay Colloquium 1968, Tata IFR, Oxford University Press, 1969.
• Hodge's General Conjecture is False for Trivial Reasons,  Topology, vol. 8 (1969), 299-303.
• Groupes de Barsotti-Tate et Cristaux,  Actes, ICM Nice 1970, Tome 1, 431-436.

Links to seminar notes written up by Grothendieck himself

• Dix Exposés sur la Cohomologie des Schémas Ten lectures, six by Grothendieck and one each by Giraud, Raynaud, Tate and Kleiman, from 1962-1967.

Links to notes taken by others of seminars given by Grothendieck

None yet