Galois theory, functional Lindemann-Weierstrass, and Manin maps
Algebraic Geometry
2016-02-17 v1
Abstract
We prove several new results of Ax-Lindemann type for semiabelian varieties over the algebraic closure K of C(t), making heavy use of the Galois theory of logarithmic differential equations. Using related techniques, we also give a generalization of the theorem of the kernel for abelian varieties over K.
Keywords
Cite
@article{arxiv.1502.02012,
title = {Galois theory, functional Lindemann-Weierstrass, and Manin maps},
author = {Daniel Bertrand and Anand Pillay},
journal= {arXiv preprint arXiv:1502.02012},
year = {2016}
}
Comments
37 pages