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. Please contact me with any corrections or comments, either by email or through the GitHub repository @thosgood/translations (where you can also find all source files).
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. All translations on this page are for personal use only.
(Note that I only translate things that are already freely available online.)
Contents
Articles
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Notes sur la fonction ζ de Riemann, 2
Adv. in Math. 143 1999 284–287
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Le théorème de Riemann-Roch
Bull. Soc. Math. Fr. 86 1958 97–136
10.24033/bsmf.1500
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Variétés abéliennes ordinaires sur un corps fini
Inv. Math. 8 1969 238–243
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Théorie de Hodge I
Actes du Congrès intern. math. 1 1970 425–430
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A quoi servent les motifs?
Proc. Symp. in Pure Math. 55 1994 143–161
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Catégories Multialgébriques
Archiv der Math. 34 1980 193–209
10.1007/BF01224953
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Résumé des résultats essentiels dans la théorie des produits tensoriels topologiques et des espaces nucléaires
Annales de l'Institut Fourier 4 1952 73–112
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La théorie des classes de Chern
Bull. Soc. Math. Fr. 86 1958 137–154
10.24033/bsmf.1501
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Bemerkung Über die Integraldarstellung der Riemannschen ξ-Funktion
Acta Math. 48 1926 305–317
10.1007/BF02565336
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Books
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Equations Différentielles à Points Singuliers Réguliers
Springer-Verlag Lecture Notes in Mathematics 163 1970
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Seminars
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
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Séminaire Claude Chevalley, Volume 4 (1958–59), "Variétés de Picard"
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Faisceaux quasi-cohérents
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Le théorème de Serre
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Diviseurs en géométrie algébrique
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Variétés abéliennes
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Séminaire Henri Cartan, Volume 9 (1956–57), "Quelques questions de topologie"
Séminaire Henri Cartan, Volume 13 (1960–61), "Familles d'espaces complexes et fondements de la géométrie analytique"
The first talk (Douady, A. "Fibrés en tores complexes") of the 1960–61 Séminaire Henri Cartan appears to have been lost to the past: the complete list of talks from the edited second edition says that no copies of the notes were made, suggesting that the reader instead refer to an article [Atiyah M.F. "Some examples of complex manifolds". Bonner math. Schrift. 6 (1958)]. Here I have translated the next three talks.
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Variétés et espaces mixtes; Déformations régulières; Obstruction primaire à la déformation
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The "Grothendieck trilogy"
The three large treatises on algebraic geometry are all, well, large. Because of this, their translations form projects that will last for quite a few years yet to come. None of them are fully finished yet, nor will they be any time soon.
- EGA: @ryankeleti/ega
- FGA: ~/fga
- SGA: ~/sga
In progress
Sometimes a paper takes "a while" to translate, but I put it here so that people can nudge me if there's one on this list that they really want me to get around to finishing. (Some of these I have barely started, so don't get too excited.)
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Lettre d’Alexander Grothendieck sur les Dérivateurs, 02.04.91 Edited by Matthias Künzer.
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Technique de descente et théorèmes d'existence en géométrie algébrique IV: Schemas de Hilbert
Séminaire Bourbaki 13 1960–61 Talk no. 221
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Über formale komplexe Räume
manuscripta mathematica 24 1978 253–293
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Action d'un tore dans une variété projective
In Operator algebras, unitary representations, enveloping algebras, and invariant theory (Paris, 1989), Birkhäuser Boston, Progress in Mathematics 92 1990 509–539
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Über Modifikationen und exzeptionelle analytische Mengen
Math. Ann. 146 1962 331–368
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Le Groupe Fondamental de la Droite Projective Moins Trois Points
In Galois Groups over ℚ, Springer-Verlag, MSRI Publications 16 1989 79–297
10.1007/978-1-4613-9649-9_3
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Wish list
Translations which I have yet to start, but one day intend to, are listed here, so that I don't forget about them. Feel free to contact me with any suggestions! (I am particularly interested in finding some Spanish things to translate).
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Théorie de Hodge II
Pub. Math. de l'IHÉS 40 1971 5–58
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Théorie de Hodge III
Pub. Math. de l'IHÉS 44 1974 5–77
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Multizetas, d'après Francis Brown
Séminaire Bourbaki 64 2011–2012 Talk no. 1048
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Sur les modèles de la géométrie différentielle synthétique
Cahiers de Topologie et Géométrie Différentielle Catégoriques 20 1979 231–279
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Komplexe Räum
Mathematische Annalen 136 1958 245–318
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Sur les espaces (F) et (DF)
Summa Brazil. Math. 3 1954 57–123
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Catégories dérivées et dualité
L'Enseignement Math. 36 1990 369–391
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Champs affines
Selecta Mathematica 12 2006 39–134
original