A Lindemann-Weierstrass theorem for semiabelian varieties over function   fields
  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. 
Daniel Bertrand and Anand Pillay