Multiplier ideals of monomial ideals

Author:

Howald J.

Abstract

In this note we discuss a simple algebraic calculation of the multiplier ideal associated to a monomial ideal in affine n n -space. We indicate how this result allows one to compute not only the multiplier ideal but also the log canonical threshold of an ideal in terms of its Newton polygon.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Reference12 articles.

1. Effective freeness and point separation for adjoint bundles;Angehrn, Urban;Invent. Math.,1995

2. Monographs in Mathematics;Arnol′d, V. I.,1985

3. 𝐿² vanishing theorems for positive line bundles and adjunction theory;Demailly, Jean-Pierre,1996

4. Jean-Pierre Demailly and János Kollár. Semi-continuity of complex singularity exponents and Kähler-Einstein metrics on Fano orbifolds. Mathematics E-Print Archive, October 1999.

5. Multiplier ideals, vanishing theorems and applications;Ein, Lawrence,1997

Cited by 88 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. Families of jets of arc type and higher (co)dimensional Du Val singularities;Comptes Rendus. Mathématique;2024-06-06

2. Wall crossing for K‐moduli spaces of plane curves;Proceedings of the London Mathematical Society;2024-06

3. Reading the log canonical threshold of a plane curve singularity from its Newton polyhedron;ANNALI DELL'UNIVERSITA' DI FERRARA;2024-05-28

4. Multiplier ideals of plane curve singularities via Newton polygons;Communications in Algebra;2023-09-22

5. Differentially fixed ideals in affine semigroup rings;International Journal of Algebra and Computation;2023-08-17

同舟云学术

1.学者识别学者识别

2.学术分析学术分析

3.人才评估人才评估

"同舟云学术"是以全球学者为主线,采集、加工和组织学术论文而形成的新型学术文献查询和分析系统,可以对全球学者进行文献检索和人才价值评估。用户可以通过关注某些学科领域的顶尖人物而持续追踪该领域的学科进展和研究前沿。经过近期的数据扩容,当前同舟云学术共收录了国内外主流学术期刊6万余种,收集的期刊论文及会议论文总量共计约1.5亿篇,并以每天添加12000余篇中外论文的速度递增。我们也可以为用户提供个性化、定制化的学者数据。欢迎来电咨询!咨询电话:010-8811{复制后删除}0370

www.globalauthorid.com

TOP

Copyright © 2019-2024 北京同舟云网络信息技术有限公司
京公网安备11010802033243号  京ICP备18003416号-3