Loading [MathJax]/extensions/tex2jax.js

On the index of a holomorphic 1-form on an isolated complete intersection singularity

Research output: Contribution to journalArticleResearchpeer review

Authors

  • Wolfgang Ebeling
  • Sabir M. Gusein-Zade

Research Organisations

External Research Organisations

  • Lomonosov Moscow State University

Details

Original languageEnglish
Pages (from-to)458-462
Number of pages5
JournalDoklady Akademii Nauk
Volume380
Issue number4
Publication statusPublished - 2001

Abstract

The authors introduce an index of a holomorphic 1-form on an isolated complete intersection singular point as the degree of a certain map, and give (without proof) an algebraic formula for the index, which expresses it as the codimension of some ideal in the ring of germs of holomorphic functions at the given singular point. For the case of an exact 1-form the formula was found by G.-M. Greuel [Math. Ann. 214, 235–266 (1975; Zbl 0285.14002)].

Cite this

On the index of a holomorphic 1-form on an isolated complete intersection singularity. / Ebeling, Wolfgang; Gusein-Zade, Sabir M.
In: Doklady Akademii Nauk, Vol. 380, No. 4, 2001, p. 458-462.

Research output: Contribution to journalArticleResearchpeer review

Ebeling, Wolfgang ; Gusein-Zade, Sabir M. / On the index of a holomorphic 1-form on an isolated complete intersection singularity. In: Doklady Akademii Nauk. 2001 ; Vol. 380, No. 4. pp. 458-462.
Download
@article{38aa026ba94d480b86776fcf1ffaf666,
title = "On the index of a holomorphic 1-form on an isolated complete intersection singularity",
abstract = "The authors introduce an index of a holomorphic 1-form on an isolated complete intersection singular point as the degree of a certain map, and give (without proof) an algebraic formula for the index, which expresses it as the codimension of some ideal in the ring of germs of holomorphic functions at the given singular point. For the case of an exact 1-form the formula was found by G.-M. Greuel [Math. Ann. 214, 235–266 (1975; Zbl 0285.14002)].",
author = "Wolfgang Ebeling and Gusein-Zade, {Sabir M.}",
year = "2001",
language = "English",
volume = "380",
pages = "458--462",
journal = "Doklady Akademii Nauk",
issn = "0869-5652",
publisher = "Izdatel'stvo Nauka",
number = "4",

}

Download

TY - JOUR

T1 - On the index of a holomorphic 1-form on an isolated complete intersection singularity

AU - Ebeling, Wolfgang

AU - Gusein-Zade, Sabir M.

PY - 2001

Y1 - 2001

N2 - The authors introduce an index of a holomorphic 1-form on an isolated complete intersection singular point as the degree of a certain map, and give (without proof) an algebraic formula for the index, which expresses it as the codimension of some ideal in the ring of germs of holomorphic functions at the given singular point. For the case of an exact 1-form the formula was found by G.-M. Greuel [Math. Ann. 214, 235–266 (1975; Zbl 0285.14002)].

AB - The authors introduce an index of a holomorphic 1-form on an isolated complete intersection singular point as the degree of a certain map, and give (without proof) an algebraic formula for the index, which expresses it as the codimension of some ideal in the ring of germs of holomorphic functions at the given singular point. For the case of an exact 1-form the formula was found by G.-M. Greuel [Math. Ann. 214, 235–266 (1975; Zbl 0285.14002)].

UR - http://www.scopus.com/inward/record.url?scp=0035778930&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:0035778930

VL - 380

SP - 458

EP - 462

JO - Doklady Akademii Nauk

JF - Doklady Akademii Nauk

SN - 0869-5652

IS - 4

ER -