In this paper, by using a combinatorial approach, we establish a new upper bound for the F-threshold (Formula presented.) of determinantal rings generated by maximal minors. We prove that (Formula presented.) coincides with the negative a-invariant in the case of (Formula presented.) and (Formula presented.) matrices and we conjecture such equality holds for all matrices.

F-threshold of determinantal rings

Romeo F.;
2024-01-01

Abstract

In this paper, by using a combinatorial approach, we establish a new upper bound for the F-threshold (Formula presented.) of determinantal rings generated by maximal minors. We prove that (Formula presented.) coincides with the negative a-invariant in the case of (Formula presented.) and (Formula presented.) matrices and we conjecture such equality holds for all matrices.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11580/114385
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