Translations

Table of contents

About

Here are some things that I’ve translated into English. I’ve tried to refrain from “rewriting” too much: generally the sentence structure etc. is pretty close to the original — when faced with a decision between "literal" and "fluid", I tend to opt for the former. In short, these translations are more mathematical than historical. 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 relevant GitHub repository (where you can also find the full source code).

The smaller translations are all kept at @thosgood/translations, but the bigger ones usually have their own repository (in which case the "source" link will point to the whole repository instead of an individual file).

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.

If you want to read about these translations, then have a look at the translation tag on my blog.

EGA, FGA, SGA

Two of the large treatises on algebraic geometry are really rather large indeed. Because of this, their translations form projects that will last for quite a few years yet to come. Neither of them is fully finished yet, nor will they be any time soon.

The smallest of the three, however, is finished (or, at least, a complete first draft is).

Articles

  • Notes sur la fonction ζ de Riemann, 2
    M Balazard, E Saias, M Yor
    Adv. in Math. 143 1999 284–287
    HTML | PDF
    original
  • Le théorème de Riemann-Roch
    A Borel, J-P Serre
    Bull. Soc. Math. Fr. 86 1958 97–136
    HTML | PDF
    original
  • Variétés analytiques complexes et cohomologie
    H Cartan
    Colloque sur les fonctions de plusieurs variables, Bruxelles 1953 41–53
    HTML | PDF
    original
  • Variétés abéliennes ordinaires sur un corps fini
    P Deligne
    Inv. Math. 8 1969 238–243
    HTML | PDF
    original
  • Théorie de Hodge I, II, III
    P Deligne
    (I) Actes du Congrès intern. math. 1 1970 425–430
    (II) Pub. Math. de l'IHÉS 40 1971 5–58
    (III) Pub. Math. de l'IHÉS 44 1974 5–77
    HTML
    original (I) | original (II) | original (III)
  • A quoi servent les motifs?
    P Deligne
    Proc. Symp. in Pure Math. 55 1994 143–161
    HTML | PDF
    original
  • Catégories Multialgébriques
    Y Diers
    Archiv der Math. 34 1980 193–209
    PDF | source
  • Exemples de groupes differentiels: flots irrationnels sur le tore
    P Donato, P Iglesias
    C. R. Acad. Sc. 301 1985 127–130
    HTML | PDF
    original
  • Catégories doubles et catégories structurées
    C Ehresmann
    C. R. Acad. Sc. 256 1963 1198–1201
    PDF | source
  • Catégories structurées
    C Ehresmann
    Ann. Sci. de l'ÉNS 80 1963 349–426
    PDF | source
  • Résumé des résultats essentiels dans la théorie des produits tensoriels topologiques et des espaces nucléaires
    A Grothendieck
    Annales de l'Institut Fourier 4 1952 73–112
    HTML | PDF
    original
  • La théorie des classes de Chern
    A Grothendieck
    Bull. Soc. Math. Fr. 86 1958 137–154
    HTML | PDF
    original
  • Bemerkung Über die Integraldarstellung der Riemannschen ξ-Funktion
    G Pólya
    Acta Math. 48 1926 305–317
    HTML | PDF
    original
  • Automorfismo de foliaciones holomorfas sobre superficies racionales
    PF Sánchez
    Pro Mathematica 16 2002 47–59
    HTML | PDF
    original

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 (containing the first 49 talks, and dating from 1948 up until 1951) was printed in 1952.

  1. Les travaux de Koszul, I
    H Cartan
    Séminaire Bourbaki 1 1952 Talk no. 1
    HTML | PDF
    original
  2. Les travaux de Koszul, II
    H Cartan
    Séminaire Bourbaki 1 1952 Talk no. 8
    HTML | PDF
    original
  3. Les travaux de Koszul, III
    H Cartan
    Séminaire Bourbaki 1 1952 Talk no. 12
    HTML | PDF
    original
Séminaire Claude Chevalley, Volume 4 (1958–59), "Variétés de Picard"
  1. Faisceaux quasi-cohérents
    P Gabriel
    HTML | PDF
    original
  2. Le théorème de Serre
    P Gabriel
    HTML | PDF
    original
  3. Diviseurs en géométrie algébrique
    C S Seshadri
    HTML | PDF
    original
  4. Variétés abéliennes
    A Douady
    HTML | PDF
    original
Séminaire Henri Cartan, Volume 9 (1956–57), "Quelques questions de topologie"
  1. Sur les faisceaux algébriques et les faisceaux analytiques cohérents
    A Grothendieck
    HTML | PDF
    original
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)].

  1. Variétés et espaces mixtes
    A Douady
    HTML | PDF
    original
  2. Déformations régulières
    A Douady
    HTML | PDF
    original
  3. Obstruction primaire à la déformation
    A Douady
    HTML | PDF
    original

Books

  • Equations Différentielles à Points Singuliers Réguliers
    P Deligne
    Springer-Verlag Lecture Notes in Mathematics 163 1970
    PDF
    original

Letters

  • Lettre d’Alexander Grothendieck sur les Dérivateurs, 02.04.91
    A Grothendieck Edited by Matthias Künzer.
    HTML | PDF
    original

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.

  • T-categories (catégories dans un triple)
    A Burroni
    Cahiers de Topologie et Géométrie Différentielle Catégoriques 12 1971 215–321
    PDF
    original
  • Géométrie analytique locale, II. Théorie des morphismes finis
    C Houzel
    Séminaire Henri Cartan 13 1960–61 Talk no. 19
    HTML | PDF
    original
  • J-P Ramis and G Ruget and JL Verdier Dualité relative en géométrie analytique complexe
    Inventiones mathematicae 13 1971 261–283
    HTML | PDF
    original
  • Le Groupe Fondamental de la Droite Projective Moins Trois Points
    P Deligne
    In Galois Groups over ℚ, Springer-Verlag, MSRI Publications 16 1989 79–297
    HTML | source
    original
  • Über formale komplexe Räume
    J Bingener
    manuscripta mathematica 24 1978 253–293
    HTML | PDF
    original
  • Über Modifikationen und exzeptionelle analytische Mengen
    H Grauert
    Math. Ann. 146 1962 331–368
    HTML | PDF
    original
  • Repartición de corriente en una red conductora. (Introducción al análisis combinatorio)
    H Weyl
    Revista Matematica Hispano-Americana 5 1923 153–164
    HTML | PDF
    original

Wish list

Translations which I have yet to start, but "one day" intend to, are listed here. Feel free to contact me with any suggestions (though I definitely cannot commit to actually following through on any).

  • J-P Ramis and G Ruget Complexe dualisant et théorèmes de dualité en géométrie analytique complexe
    Publ. Math. Inst. Hautes Études Sci. 38 1970 77–91
    original
  • H Grauert and R Remmert Komplexe Räum
    Mathematische Annalen 136 1958 245–318
    original
  • O Forster Zur Theorie der Steinschen Algebren und Moduln
    Mathematische Zeitschrift 97 1967 376–405
    original
  • O Forster and K Knorr Relativ-analytische Räume und die Kohärenz von Bildgarben
    Inventiones mathematicae 16 1972 113–160
    original
  • L Illusie Catégories dérivées et dualité
    L'Enseignement Math. 36 1990 369–391
    original
  • J-M Souriau Groupes différentiels et physique mathématique
    Centre de Physique Théorique 83/P.1547 1983 1–47
    original
  • P Deligne Cristaux discontinus
    MO link | original
  • E J Dubuc Sur les modèles de la géométrie différentielle synthétique
    Cahiers de Topologie et Géométrie Différentielle Catégoriques 20 1979 231–279
    original
  • A Grothendieck Sur les espaces (F) et (DF)
    Summa Brazil. Math. 3 1954 57–123
    original
  • B Toën Champs affines
    Selecta Mathematica 12 2006 39–134
    original
  • F Norguet Images de faisceaux analytiques cohérents
    Séminaire Lelong, Analyse 1 1958 Talk no. 11
    original
  • E Dubuc and J Penon Objets compacts dans les topos
    J. Austral. Math. Soc. 40 1986 203–217
    original