A note on o-minimal flows and the Ax Lindemann Weierstrass Theorem for abelian varieteis over the complex numbers

Kobi Peterzil, Sergei Starchenko

Research output: Contribution to journalArticlepeer-review

Abstract

In this short note we present an elementary proof of Theorem 1.2 from [9], and also the Ax–Lindemann–Weierstrass theorem for abelian and semi-abelian varieties. The proof uses ideas of Pila, Ullmo, Yafaev, Zannier (see e.g. [7]) and is based on
basic properties of sets definable in o-minimal structures. It does not use the Pila–Wilkie counting theorem.
Original languageEnglish
Pages (from-to)251-261
JournalL'Enseignement Mathematique
Volume36
Issue number2
StatePublished - 2017

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