2016/11/15 by Ya’acov Peterzil, Peterzil, Ya'acov, Sergei Starchenko +1
Computer Science · Mathematics · #03C64 11J81 #Advanced Topology and Set Theory #Artificial Intelligence in Games #FOS: Mathematics #Logic (math.LO) #Mathematical Dynamics and Fractals #Number Theory (math.NT)
paper · pdf · doi:10.48550/arxiv.1611.04673
openalex publication_date 2016/11/15 · openalex created_date 2017/01/13 · openalex updated_date 2026/07/28
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.