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Preprint Number 138

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138. Daniel Bertrand, Anand Pillay
A Lindemann-Weierstrass theorem for semiabelian varieties over function fields
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Submission date: 1 November 2008

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.

Mathematics Subject Classification: 14K20;03C60;12HOF

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