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arxiv: 0810.0383 · v2 · submitted 2008-10-02 · 🧮 math.AG

A Lindemann-Weierstrass theorem for semiabelian varieties over function fields

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keywords algebraicfieldsfunctionindependentlindemann-weierstrasstheoremalgebraicallyanalogue
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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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