Birational equivalence of exponential matrices

Fuente: arXiv
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Auteur principal: Tanimoto, Ryuji
Format: Preprint
Publié: 2025
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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