A note on o-minimal flows and the Ax–Lindemann–Weierstrass theorem for semi-abelian varieties over
Ya'acov PeterzilUniversity of Haifa, Israel
Sergei StarchenkoUniversity of Notre Dame, USA
In this short note we present an elementary proof of eorem 1.2 from [UY2], 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., [PZ]) and is based on basic properties of sets definable in o-minimal structures. It does not use the Pila–Wilkie counting theorem.
Cite this article
Ya'acov Peterzil, Sergei Starchenko, A note on o-minimal flows and the Ax–Lindemann–Weierstrass theorem for semi-abelian varieties over . Enseign. Math. 63 (2017), no. 3/4, pp. 251–261DOI 10.4171/LEM/63-3/4-1