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Galois theory, functional Lindemann–Weierstrass, and Manin maps
2016
Pacific Journal of Mathematics
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We prove several new results of Ax-Lindemann type for semiabelian varieties over the algebraic closure K of C(t), making heavy use of the Galois theory of logarithmic differential equations. Using related techniques, we also give a generalization of the theorem of the kernel for abelian varieties over K.
doi:10.2140/pjm.2016.281.51
fatcat:vuziybqnzzc57chuppj25htx6e