A Lindemann-Weierstrass theorem for semiabelian varieties over function fields

2008/10/02 by Bertrand, Daniel, Pillay, Anand
Computer Science · Mathematics · #03C60 #12HOF #14K20 #Advanced Topology and Set Theory #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #FOS: Mathematics #Polynomial and algebraic computation

paper · doi:10.48550/arxiv.0810.0383

openalex publication_date 2008/10/02 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

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