Galois theory, functional Lindemann-Weierstrass, and Manin maps
classification
🧮 math.AG
keywords
galoistheoryvarietiesabelianalgebraicax-lindemannclosuredifferential
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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.
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