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Preprint Number 1120

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1120. Ya'acov Peterzil and Sergei Starchenko
A note on o-minimal flows and the Ax--Lindemann--Weierstrass theorem for abelian varieties over C

Submission date: 15 November 2016


In this short note we present an elementary proof of the Ax-Lindemann-Weierstrass theorem for abelian and semi-abelian varieties. The proof uses ideas of Pila, Ullmo, Yafaev, Zannier and is based on basic properties of sets definable in o-minimal structures. It does not use the Pila-Wilkie counting theorem.

Mathematics Subject Classification: 03C64 11J81

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Full text arXiv 1611.04673: pdf, ps.

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