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arXiv · 2303.04331

On Segre products, $F$-regularity, and finite Frobenius representation type

Anurag K. Singh·Kei-ichi Watanabe
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Abstract

We study the behavior of various properties of commutative Noetherian rings under Segre products, with a special focus on properties in positive prime characteristic defined using the Frobenius endomorphism. Specifically, we construct normal graded rings of finite Frobenius representation type that are not Cohen-Macaulay.

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Anurag K. Singh, Kei-ichi Watanabe. 2023-03-08. On Segre products, $F$-regularity, and finite Frobenius representation type. https://arxiv.org/abs/2303.04331

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