Vol. 11, No. 1, 2021

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The FrobeniusThresholds package for Macaulay2

Daniel J. Hernández, Karl Schwede, Pedro Teixeira and Emily E. Witt

Vol. 11 (2021), 25–39
DOI: 10.2140/jsag.2021.11.25
Abstract

This article describes the Macaulay2 package FrobeniusThresholds, designed to estimate and calculate F-pure thresholds, more general F-thresholds, and related numerical invariants arising in the study of singularities in prime characteristic commutative algebra.

Keywords
Macaulay2, F-singularity, Frobenius, F-threshold, F-pure threshold
Mathematical Subject Classification 2010
Primary: 13A35
Supplementary material

A package for calculations of F-thresholds

Milestones
Received: 24 June 2019
Revised: 16 June 2020
Accepted: 11 September 2020
Published: 23 January 2021
Authors
Daniel J. Hernández
Department of Mathematics
University of Kansas
Lawrence, KS
United States
Karl Schwede
Department of Mathematics
The University of Utah
Salt Lake City, UT
United States
Pedro Teixeira
Department of Mathematics
Knox College
Galesburg, IL
United States
Emily E. Witt
Department of Mathematics
University of Kansas
Lawrence, KS
United States