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arXiv · 1905.04364

Ax-Schanuel for $GL_n$

Georgios Papas
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Abstract

In this paper we prove an Ax-Schanuel type result for the exponential functions for general linear groups over $\mathbb{C}$. We prove the result first for the group of upper triangular matrices and then for the group $GL_n$ of all $n\times n$ invertible matrices over $\mathbb{C}$. 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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Georgios Papas. 2019-05-10. Ax-Schanuel for $GL_n$. https://arxiv.org/abs/1905.04364

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