Positive characteristic Manin-Mumford theorem

Details Positive characteristic Manin-Mumford theorem Positive characteristic Manin-Mumford theorem

2003-03-26

arxiv.org/abs/math/0303340v1

Mathematics

Algebraic Geometry

Scientific paper

We prove a version of the Manin-Mumford conjecture for semiabelian varieties over fields of positive characteristic. The proof presented here contains the details of the proof sketched by the author in the article "Diophantine geometry from model theory," BSL 7 (2001) no. 1, 37 - 57; using the model theory of difference fields along the lines of Hrushovski. Algebraic proofs have been presented by Pink & Roessler and Pillay.

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