Here are some things that I’ve translated into English. Any comments or corrections are greatly appreciated. I’ve tried to refrain from “rewriting” too much: generally the sentence structure etc. is pretty close to the original. Usually I don't have the time (or, truthfully, the energy) to fully proof-read everything after my first draft is done, so I'm sure that everything could be much improved. Sorry.
The following should go without saying, but I’ll say it anyway:
I am making no claim to any of the mathematics contained in any of these translations; the only things that are mine are the errors introduced during the hazardous journey from one language to another.
Further, these translations are for personal use only.
For each paper, there is a link to the .tex source file, to a PDF (nightly builds from the latest version of the .tex files), and to the original paper (if a copy is freely available online). Each PDF has a version hash so you can check at a glance if there have been any changes between two copies. (I will eventually put build dates on the PDFs.)
The GitHub repository with all these translations is [thosgood/translations].
The "Grothendieck trilogy"
- EGA: [ryankeleti/ega]
- FGA: See below, under "Séminaire Bourbaki"
- SGA: "Coming soon"™
Articles
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Notes sur la fonction ζ de Riemann, 2
Advances in Mathematics 143 1999 284–287
TeX | PDF | original -
Le théorème de Riemann-Roch
Bull. Soc. Math. Fr. 86 1958 97–136
10.24033/bsmf.1500
TeX | PDF | original -
Variétés abéliennes ordinaires sur un corps fini
Inv. Math. 8 1969 238–243
TeX | PDF | original -
Théorie de Hodge I
Actes du Congrès intern. math. 1 1970 425–430
TeX | PDF | original -
A quoi servent les motifs?
Proc. Symp. in Pure Math. 55 1994 143–161
TeX | PDF | original -
Catégories Multialgébriques
Archiv der Mathematik 34 1980 193–209
10.1007/BF01224953
TeX | PDF -
La théorie des classes de Chern
Bull. Soc. Math. Fr. 86 1958 137–154
10.24033/bsmf.1501
TeX | PDF | original -
Bemerkung Über die Integraldarstellung der Riemannschen ξ-Funktion
Acta Math. 48 1926 305–317
10.1007/BF02565336
TeX | PDF | original
Séminaire Bourbaki
Extracts (1948–49), "Les travaux de Koszul"
In the first series of the Séminaire Bourbaki, H Cartan gave three talks concerning the work of J-L Koszul on Lie algebras. (These specific talks were given in 1948–49, but the first published Séminaire Bourbaki collection was printed in 1952, containing the first 49 talks, and dating from 1948 up until 1951). I have combined all three talks into one document.
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Les travaux de Koszul, I, II, and III
Séminaire Bourbaki 1 1952 Talks no. 1, 8, and 12
TeX | PDF | original I | original II | original III
Extracts (1957–62), "Fondements de la Géométrie Algébrique"
The Grothendieck Circle has a PDF of the original notes. The translation below has been updated with the comments and errata from the May 1962 "Commentaires" (Séminaire Bourbaki 14, 1961–62, Complément).
All of the following are by A Grothendieck.
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Théorème de dualité pour les faisceaux algébriques cohérents
Séminaire Bourbaki 9 1956–57 Talk no. 149
TeX | PDF -
Géométrie formelle et géométrie algébrique
Séminaire Bourbaki 11 1958–59 Talk no. 182
TeX | PDF - Technique de descente et théorèmes d'existence en géométrie algébrique
Séminaire Claude Chevalley
Volume 4 (1958–59), Variétés de Picard
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Faisceaux quasi-cohérents
TeX | PDF | original -
Le théorème de Serre
TeX | PDF | original -
Diviseurs en géométrie algébrique
TeX | PDF | original -
Variétés abéliennes
TeX | PDF | original
Séminaire Henri Cartan
Volume 9 (1956–57), "Quelques questions de topologie"
Volume 13 (1960–61), "Familles d'espaces complexes et fondements de la géométrie analytique"
The first talk [ Fibrés en tores complexes] in the first volume of this seminar series was not written down; in the table of contents, a reference [ Some examples of complex manifolds Bonner Math. Schrift. 6 1958 28 p] is given instead. Talks number 5 and 6 [ Modules des surfaces de Riemann] in the same volume were also not written down.
