Positive characteristic Manin-Mumford theorem
Algebraic Geometry
2007-05-23 v1 Logic
Number Theory
Abstract
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.
Cite
@article{arxiv.math/0303340,
title = {Positive characteristic Manin-Mumford theorem},
author = {Thomas Scanlon},
journal= {arXiv preprint arXiv:math/0303340},
year = {2007}
}