Submission date: 6 February 2015

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.

Mathematics Subject Classification: 12H05, 14K05, 03C60, 34M15, 11J95

Keywords and phrases:

Full text arXiv 1502.02012: pdf, ps.