Ax-Schanuel for GL_n

2019/05/10 by Papas, Georgios
#Algebraic Geometry (math.AG) #FOS: Mathematics #Number Theory (math.NT)

paper · doi:10.48550/arxiv.1905.04364

Abstract

In this paper we prove an Ax-Schanuel type result for the exponential functions for general linear groups over ℂ. We prove the result first for the group of upper triangular matrices and then for the group GL_n of all n× n invertible matrices over ℂ. We also obtain Ax-Lindemann type results for these maps as a corollary, characterizing the bi-algebraic subsets of these maps.

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