Serre duality for noncommutative projegtive schemes

Amnon Yekutieli; James J. Zhang

doi:10.1090/s0002-9939-97-03782-9

Serre duality for noncommutative projegtive schemes

Amnon Yekutieli, James J. Zhang

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

43 Scopus citations

Abstract

We prove the Serre duality theorem for the noncommutative projective scheme proj A when A is a graded noetherian PI ring or a graded noetherian AS-Gorenstein ring.

Original language	English
Pages (from-to)	697-707
Number of pages	11
Journal	Proceedings of the American Mathematical Society
Volume	125
Issue number	3
DOIs	https://doi.org/10.1090/s0002-9939-97-03782-9
State	Published - 1 Jan 1997
Externally published	Yes

Keywords

Balanced dualizing complex
Dualizing sheaf
Noncommutative projective scheme
Serre duality theorem
Watts' theorem

ASJC Scopus subject areas

General Mathematics
Applied Mathematics

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10.1090/s0002-9939-97-03782-9

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title = "Serre duality for noncommutative projegtive schemes",

abstract = "We prove the Serre duality theorem for the noncommutative projective scheme proj A when A is a graded noetherian PI ring or a graded noetherian AS-Gorenstein ring.",

keywords = "Balanced dualizing complex, Dualizing sheaf, Noncommutative projective scheme, Serre duality theorem, Watts' theorem",

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year = "1997",

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doi = "10.1090/s0002-9939-97-03782-9",

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AU - Zhang, James J.

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AB - We prove the Serre duality theorem for the noncommutative projective scheme proj A when A is a graded noetherian PI ring or a graded noetherian AS-Gorenstein ring.

KW - Balanced dualizing complex

KW - Dualizing sheaf

KW - Noncommutative projective scheme

KW - Serre duality theorem

KW - Watts' theorem

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JO - Proceedings of the American Mathematical Society

JF - Proceedings of the American Mathematical Society

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ER -

Serre duality for noncommutative projegtive schemes

Abstract

Keywords

ASJC Scopus subject areas

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