On function field Mordell-Lang: the semiabelian case and the socle theorem
Algebraic Geometry
2017-10-25 v2 Logic
Number Theory
Abstract
We here aim to complete our model-theoretic account of the function field Mordell-Lang conjecture, avoiding appeal to dichotomy theorems for Zariski geometries, where we now consider the general case of semiabelian varieties. The main result is a reduction, using model-theoretic tools, of the semiabelian case to the abelian case.
Keywords
Cite
@article{arxiv.1702.02635,
title = {On function field Mordell-Lang: the semiabelian case and the socle theorem},
author = {Franck Benoist and Elisabeth Bouscaren and Anand Pillay},
journal= {arXiv preprint arXiv:1702.02635},
year = {2017}
}
Comments
43 pages. Some minor corrections and clarifications were made following a referee's report