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

Published 2 May 2024 in math.AC and math.CO | (2405.00994v1)

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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