A Lindemann-Weierstrass theorem for semiabelian varieties over function fields

Details A Lindemann-Weierstrass theorem for semiabelian varieties over function fields A Lindemann-Weierstrass theorem for semiabelian varieties over function fields

2008-10-02

arxiv.org/abs/0810.0383v2

Mathematics

Algebraic Geometry

Changes to statements of Corollary 1.1, and addition of Theorem 1.4. Corresponding modifications to introduction, now divided

Scientific paper

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.

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