Morse numbers of function germs with isolated singularities

Author:

Maxim Laurenţiu12,Tibăr Mihai12

Affiliation:

1. Department of Mathematics, University of Wisconsin-Madison , 480 Lincoln Drive, Madison, WI 53706-1388, USA

2. Université de Lille , CNRS, UMR 8524 – Laboratoire Paul Painlevé, F-59000 Lille, France

Abstract

Abstract A set of Morse numbers is associated with a holomorphic function germ with stratified isolated singularity, extending the classical Milnor–Morse number to the setting of a singular base space.

Publisher

Oxford University Press (OUP)

Subject

General Mathematics

Reference26 articles.

1. Euler obstruction and defects of functions on singular varieties;Brasselet;J. London Math. Soc. (2),2004

2. Die Monodromie der isolierten Singularitäten von Hyperflächen;Brieskorn;Manuscripta Math.,1970

3. Singular 4-3-0—A computer algebra system for polynomial computations;Decker,2022

4. The Euclidean distance degree of an algebraic variety;Draisma;Found. Comput. Math.,2016

5. Indices of 1-forms on an isolated complete intersection singularity;Ebeling;Moscow. Math. J.,2003

Cited by 2 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. Local linear Morsifications;Revue Roumaine Mathematiques Pures Appliquees;2024-06-30

2. Euclidean distance degree and limit points in a Morsification;Advances in Applied Mathematics;2024-01

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