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Galois theory, functional Lindemann-Weierstrass, and Manin maps

By Daniel Bertrand and Anand Pillay

Abstract

37 pagesWe 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

Topics: Manin maps, algebraic independence over function fields, semi-abelian schemes, Differential Galois theory, AMS 2010 Classification numbers : 12H05, 14K05, 03C60, 34M15, 11J95, [ MATH ] Mathematics [math]
Publisher: HAL CCSD
Year: 2015
OAI identifier: oai:HAL:hal-01205702v1
Provided by: Hal-Diderot

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