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arXiv · 2405.00994

Dual $F$-signatures of Veronese subrings and Segre products of polynomial rings

Koji Matsushita
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Abstract

In this paper, we compute the dual $F$-signatures of certain toric rings by using combinatorial techniques. Specifically, we calculate the dual $F$-signatures of Veronese subrings of polynomial rings. Moreover, we give an upper bound for the dual $F$-signatures of Segre products of polynomial rings and show that this upper bound is attained in some cases.

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Koji Matsushita. 2024-05-02. Dual $F$-signatures of Veronese subrings and Segre products of polynomial rings. https://arxiv.org/abs/2405.00994

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