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Main Author:	Tanimoto, Ryuji
Format:	Preprint
Published:	2025
Subjects:	Algebraic Geometry Representation Theory Primary 15A54, Secondary 14L30
Online Access:	https://arxiv.org/abs/2507.02317
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author	Tanimoto, Ryuji
author_facet	Tanimoto, Ryuji
contents	In this article, we consider birational equivalence of exponential matrices. In characteristic zero, we give a birational classification of exponential matrices of size $n$-by-$n$ $(n \geq 2)$, which consists of two types. And in positive characteristic, we give birational classifications of exponential matrices of sizes two-by-two and three-by-three, respectively.
format	Preprint
id	arxiv_https___arxiv_org_abs_2507_02317
institution	arXiv
publishDate	2025
record_format	arxiv
spellingShingle	Birational equivalence of exponential matrices Tanimoto, Ryuji Algebraic Geometry Representation Theory Primary 15A54, Secondary 14L30 In this article, we consider birational equivalence of exponential matrices. In characteristic zero, we give a birational classification of exponential matrices of size $n$-by-$n$ $(n \geq 2)$, which consists of two types. And in positive characteristic, we give birational classifications of exponential matrices of sizes two-by-two and three-by-three, respectively.
title	Birational equivalence of exponential matrices
topic	Algebraic Geometry Representation Theory Primary 15A54, Secondary 14L30
url	https://arxiv.org/abs/2507.02317

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