On the existence of 𝐹-thresholds and related limits-Reference-Cited by-同舟云学术

On the existence of 𝐹-thresholds and related limits

Published:2018-03-19 Issue:9 Volume:370 Page:6629-6650
ISSN:0002-9947
Container-title:Transactions of the American Mathematical Society
language:en
Short-container-title:Trans. Amer. Math. Soc.

Author:

De Stefani Alessandro,Núñez-Betancourt Luis,Pérez Felipe

Abstract

We show the existence of F F -thresholds in full generality. In addition, we study properties of standard graded algebras over a field for which F F -pure threshold and F F -threshold at the irrelevant maximal ideal agree. We also exhibit explicit bounds for the a a -invariants and Castelnuovo-Mumford regularity of Frobenius powers of ideals in terms of F F -thresholds and F F -pure thresholds, obtaining the existence of related limits in certain cases.

Funder

National Science Foundation

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

https://www.ams.org/tran/2018-370-09/S0002-9947-2018-07176-8/tran7176_AM.pdf

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