The second pluri-genus of smoothable Gorenstein surface singularities

Rong Du; Stephen S.T. Yau

doi:10.1007/s11425-010-0062-2

The second pluri-genus of smoothable Gorenstein surface singularities

Rong Du, Stephen S.T. Yau

University of Illinois at Chicago

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

1 Scopus citations

Abstract

For complete intersection isolated surface singularities, Okuma gave a formula for the second plurigenus relating geometry genus, Milnor number and Tjurina number. We generalize Okuma's theorem to Gorenstein smoothable surface singularities.

Original language	English
Pages (from-to)	635-639
Number of pages	5
Journal	Science China Mathematics
Volume	53
Issue number	3
DOIs	https://doi.org/10.1007/s11425-010-0062-2
State	Published - 2010
Externally published	Yes

Keywords

Gorenstein
Milnor number
Second pluri-genus
Smoothable
Tjurina number

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10.1007/s11425-010-0062-2

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title = "The second pluri-genus of smoothable Gorenstein surface singularities",

abstract = "For complete intersection isolated surface singularities, Okuma gave a formula for the second plurigenus relating geometry genus, Milnor number and Tjurina number. We generalize Okuma's theorem to Gorenstein smoothable surface singularities.",

keywords = "Gorenstein, Milnor number, Second pluri-genus, Smoothable, Tjurina number",

author = "Rong Du and Yau, \{Stephen S.T.\}",

year = "2010",

doi = "10.1007/s11425-010-0062-2",

language = "英语",

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AU - Yau, Stephen S.T.

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AB - For complete intersection isolated surface singularities, Okuma gave a formula for the second plurigenus relating geometry genus, Milnor number and Tjurina number. We generalize Okuma's theorem to Gorenstein smoothable surface singularities.

KW - Gorenstein

KW - Milnor number

KW - Second pluri-genus

KW - Smoothable

KW - Tjurina number

UR - https://www.scopus.com/pages/publications/77952222897

U2 - 10.1007/s11425-010-0062-2

DO - 10.1007/s11425-010-0062-2

M3 - 文章

AN - SCOPUS:77952222897

SN - 1674-7283

VL - 53

SP - 635

EP - 639

JO - Science China Mathematics

JF - Science China Mathematics

IS - 3

ER -

The second pluri-genus of smoothable Gorenstein surface singularities

Abstract

Keywords

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