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arXiv · 2507.02317

Birational equivalence of exponential matrices

Ryuji Tanimoto
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Abstract

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.

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Ryuji Tanimoto. 2025-07-03. Birational equivalence of exponential matrices. https://arxiv.org/abs/2507.02317

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