Dual $F$-signatures of Veronese subrings and Segre products of polynomial rings
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.
- Publication:
-
arXiv e-prints
- Pub Date:
- May 2024
- DOI:
- 10.48550/arXiv.2405.00994
- arXiv:
- arXiv:2405.00994
- Bibcode:
- 2024arXiv240500994M
- Keywords:
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- Mathematics - Commutative Algebra;
- Mathematics - Combinatorics;
- Primary 13A35;
- 05E40;
- Secondary 52B20;
- 14M25
- E-Print:
- 14 pages