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Siegel’s theorem for complex function fields

Published:1994 Issue:4 Volume:121 Page:1307-1308
ISSN:0002-9939
Container-title:Proceedings of the American Mathematical Society
language:en
Short-container-title:Proc. Amer. Math. Soc.

Author:

Voloch José Felipe

Abstract

We give a short proof of the finiteness of the set of integral points on an affine algebraic curve of genus at least one, defined over a function field of characteristic zero.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/proc/1994-121-04/S0002-9939-1994-1209430-9/S0002-9939-1994-1209430-9.pdf

Reference7 articles.

1. Integral points of abelian varieties over function fields of characteristic zero;Buium, Alexandru;Math. Ann.,1993

2. Endlichkeitssätze für abelsche Varietäten über Zahlkörpern;Faltings, G.;Invent. Math.,1983

3. Integral points on curves;Lang, Serge;Inst. Hautes \'{E}tudes Sci. Publ. Math.,1960

4. Letter to the editors: “Rational points on algebraic curves over function fields” [Izv. Akad. Nauk SSSR Ser. Mat. 27 (1963), 1397–1442; MR0157971 (28 #1199)];Manin, Yu. I.;Izv. Akad. Nauk SSSR Ser. Mat.,1989

5. London Mathematical Society Lecture Note Series;Mason, R. C.,1984

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1. On the torsion values for sections of an elliptic scheme;Journal für die reine und angewandte Mathematik (Crelles Journal);2021-10-28

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