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As the title suggests, do there exist translations of papers by Deuring? I'm particularly interested in:

  • "Die Typen der Multiplikatorenringe elliptischer Funktionenkörper," Ach. Math. Sem. Hab. (1941), pp. 197-272.
  • "Die Klassenkörper der Komplexen Multiplikation," Enzyklopädie der Math. Wiss. Band I, 2. Teil, Heft 10, Teil II.

Thanks for the help in advance!

EDIT: Perhaps someone could suggest books/notes to read so that I can get a grip on the concepts in the paper.

I see Deuring mentioning "Elliptische Funktionenkörper" (is this the function field of the elliptic curve or the modular function field?) and he also mentions actions on this field. Is there a modern treatment of this that I can refer to?

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    $\begingroup$ Max Deuring wrote 26 publications, one in Italian, the rest in German, no translations listed in his bibliography. $\endgroup$
    – Carlo Beenakker
    Commented May 5, 2017 at 7:18
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    $\begingroup$ Have you tried the improved Google Translate? I've used it recently also on a German paper. it forced me to think harder about the various statements and make-up a few gaps generated by the translation. Ironicaly, this made me a more involved reader. $\endgroup$
    – Liviu Nicolaescu
    Commented May 5, 2017 at 10:18
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    $\begingroup$ @LiviuNicolaescu I know some rudimentary german and have also tried to use Google translate but I am still unable to understand the paper well. $\endgroup$
    – BlackAdder
    Commented May 7, 2017 at 21:11

1 Answer 1

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An English translation of "Die Klassenkörper der Komplexen Multiplikation" was posted on arXiv by CheeWhye Chin in 2020: https://arxiv.org/abs/2006.04531

English translation of the proofs of many theorems from "Die Typen der Multiplikatorenringe elliptischer Funktionenkörper" can be found in

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