A Lindemann-Weierstrass theorem for semiabelian varieties over function fields
Algebraic Geometry
2008-11-01 v2
Abstract
We prove an analogue of the Lindemann-Weierstrass theorem (that the exponentials of Q-linearly independent algebraic numbers are algebraically independent) for commutative algebraic groups G without unipotent quotients, over function fields. We concentrate on solutions to the the differential algebraic relations satisfied by exp from LG to G.
Cite
@article{arxiv.0810.0383,
title = {A Lindemann-Weierstrass theorem for semiabelian varieties over function fields},
author = {Daniel Bertrand and Anand Pillay},
journal= {arXiv preprint arXiv:0810.0383},
year = {2008}
}
Comments
Changes to statements of Corollary 1.1, and addition of Theorem 1.4. Corresponding modifications to introduction, now divided in two parts