# The FrobeniusThresholds package for Macaulay2

**Authors:** Daniel J. Hern\'andez, Karl Schwede, Pedro Teixeira, Emily E. Witt

arXiv: 1906.09491 · 2021-01-27

## TL;DR

The FrobeniusThresholds package for Macaulay2 provides tools to compute and estimate $F$-thresholds and related invariants, aiding the study of singularities in prime characteristic algebra.

## Contribution

It introduces a new Macaulay2 package that automates the calculation of $F$-pure thresholds and related invariants, enhancing computational approaches in singularity theory.

## Key findings

- Enables efficient computation of $F$-pure thresholds.
- Provides estimates for generalized $F$-thresholds.
- Facilitates research in prime characteristic singularities.

## Abstract

This article describes the \emph{Macaulay2} package \emph{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.

## Full text

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## References

24 references — full list in the complete paper: https://tomesphere.com/paper/1906.09491/full.md

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Source: https://tomesphere.com/paper/1906.09491