\(F\)-pure thresholds of homogeneous polynomials
type: Item
instance of: scholarly article
title: \(F\)-pure thresholds of homogeneous polynomials
zbMATH Open document ID: 1342.13007
author: Daniel J. Hernández
author: Luis Núñez-Betancourt
author: Emily E. Witt
author: Wenliang Zhang
published in: Michigan Mathematical Journal
publication date: 2016-04-22T00:00:00Z
full work available at URL: https://arxiv.org/abs/1404.3772
review text: The authors study the \(F\)-pure thresholds of polynomials that are homogeneous under some \(\mathbb{N}\)-grading with an isolated singularity at the origin. The main result, Theorem 3.5, gives a finite list of possible values of the \(F\)-pure thresholds of such polynomials, and in many cases it gives the exact values. The main result is an extention of the methods and results of \textit{B. Bhatt} and \textit{A. K. Singh} [Math. Ann. 362, No. 1--2, 551--567 (2015; Zbl 1328.13006)]. As applications, the authors obtain results on uniform bounds for the difference between log canonical and \(F\)-pure thresholds, and results on the ACC conjecture for \(F\)-pure thresholds, and for homogeneous polynomials with isolated singularities.
reviewed by: Linquan Ma
Mathematics Subject Classification ID: 13A35
Mathematics Subject Classification ID: 14F18
zbMATH DE Number: 6572604
zbMATH Keywords: \(F\)-pure thresholds
zbMATH Keywords: log canonical thresholds
zbMATH Keywords: isolated singularities
MaRDI profile type: Publication
OpenAlex ID: W2964212127
arXiv ID: 1404.3772
DOI: 10.1307/MMJ/1457101811
description: scientific article; zbMATH DE number 6572604