Local holomorphic De Rham cohomology

Rong Du; Stephen Yau

doi:10.4310/CAG.2010.v18.n2.a4

Local holomorphic De Rham cohomology

Rong Du^*
, Stephen Yau

^*Corresponding author for this work

School of Mathematical Sciences

University of Illinois at Chicago
East China Normal University

Research output: Contribution to journal › Article › peer-review

2 Scopus citations

Abstract

Local holomorphic De Rham cohomology introduced in this paper and punctured local holomorphic De Rham cohomology introduced by Huang-Luk-Yau are two important local invariants for varieties with isolated singularities. We find some relations between these two invariants and the invariants defined by Steenbrink on surface singularities, and from which we use these two invariants to describe when a Gorenstein singularity is quasi-homogeneous.

Original language	English
Pages (from-to)	365-374
Number of pages	10
Journal	Communications in Analysis and Geometry
Volume	18
Issue number	2
DOIs	https://doi.org/10.4310/CAG.2010.v18.n2.a4
State	Published - Mar 2010

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title = "Local holomorphic De Rham cohomology",

abstract = "Local holomorphic De Rham cohomology introduced in this paper and punctured local holomorphic De Rham cohomology introduced by Huang-Luk-Yau are two important local invariants for varieties with isolated singularities. We find some relations between these two invariants and the invariants defined by Steenbrink on surface singularities, and from which we use these two invariants to describe when a Gorenstein singularity is quasi-homogeneous.",

author = "Rong Du and Stephen Yau",

year = "2010",

month = mar,

doi = "10.4310/CAG.2010.v18.n2.a4",

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journal = "Communications in Analysis and Geometry",

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AU - Du, Rong

AU - Yau, Stephen

PY - 2010/3

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N2 - Local holomorphic De Rham cohomology introduced in this paper and punctured local holomorphic De Rham cohomology introduced by Huang-Luk-Yau are two important local invariants for varieties with isolated singularities. We find some relations between these two invariants and the invariants defined by Steenbrink on surface singularities, and from which we use these two invariants to describe when a Gorenstein singularity is quasi-homogeneous.

AB - Local holomorphic De Rham cohomology introduced in this paper and punctured local holomorphic De Rham cohomology introduced by Huang-Luk-Yau are two important local invariants for varieties with isolated singularities. We find some relations between these two invariants and the invariants defined by Steenbrink on surface singularities, and from which we use these two invariants to describe when a Gorenstein singularity is quasi-homogeneous.

UR - https://www.scopus.com/pages/publications/77955948809

U2 - 10.4310/CAG.2010.v18.n2.a4

DO - 10.4310/CAG.2010.v18.n2.a4

M3 - 文章

AN - SCOPUS:77955948809

SN - 1019-8385

VL - 18

SP - 365

EP - 374

JO - Communications in Analysis and Geometry

JF - Communications in Analysis and Geometry

IS - 2

ER -

Local holomorphic De Rham cohomology

Abstract

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