A Lindemann-Weierstrass theorem for semiabelian varieties over function fields
Abstract
Description
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.
Changes to statements of Corollary 1.1, and addition of Theorem 1.4. Corresponding modifications to introduction, now divided in two parts
Changes to statements of Corollary 1.1, and addition of Theorem 1.4. Corresponding modifications to introduction, now divided in two parts