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ON THE EXISTENCE OF F-THRESHOLDS AND RELATED LIMITS
KTH, School of Engineering Sciences (SCI), Mathematics (Dept.). Univ Nebraska, Dept Math, Lincoln, NE 68588 USA..
Ctr Invest Matemat, Guanajuato, Gto, Mexico..
Georgia State Univ, Dept Math & Stat, Atlanta, GA 30303 USA..
2018 (English)In: Transactions of the American Mathematical Society, ISSN 0002-9947, E-ISSN 1088-6850, Vol. 370, no 9, p. 6629-6650Article in journal (Refereed) Published
Abstract [en]

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

Place, publisher, year, edition, pages
AMER MATHEMATICAL SOC , 2018. Vol. 370, no 9, p. 6629-6650
Keywords [en]
F-thresholds, a-invariants, F-pure thresholds, Castelnuovo-Mumford regularity, strong F-regularity, F-signature
National Category
Mathematics
Identifiers
URN: urn:nbn:se:kth:diva-233588DOI: 10.1090/tran/7176ISI: 000441319800020Scopus ID: 2-s2.0-85032911500OAI: oai:DiVA.org:kth-233588DiVA, id: diva2:1242371
Note

QC 20180828

Available from: 2018-08-28 Created: 2018-08-28 Last updated: 2018-09-03Bibliographically approved

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