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.

ON THE EXISTENCE OF F-THRESHOLDS AND RELATED LIMITS

De Stefani A;
2018

Abstract

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.
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/11567/942112
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