Equivariant Matlis and the local duality

Mitsuyasu Hashimoto; Masahiro Ohtani

doi:10.1016/j.jalgebra.2010.05.017

Equivariant Matlis and the local duality

Mitsuyasu Hashimoto, Masahiro Ohtani

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

5 Citations (Scopus)

Abstract

Generalizing the known results on graded rings and modules, we formulate and prove the equivariant version of the local duality on schemes with a group action. We also prove an equivariant analogue of Matlis duality.

Original language	English
Pages (from-to)	1447-1470
Number of pages	24
Journal	Journal of Algebra
Volume	324
Issue number	7
DOIs	https://doi.org/10.1016/j.jalgebra.2010.05.017
Publication status	Published - Oct 2010
Externally published	Yes

Keywords

Equivariant local cohomology
Local duality
Matlis duality

ASJC Scopus subject areas

Algebra and Number Theory

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10.1016/j.jalgebra.2010.05.017

Cite this

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title = "Equivariant Matlis and the local duality",

abstract = "Generalizing the known results on graded rings and modules, we formulate and prove the equivariant version of the local duality on schemes with a group action. We also prove an equivariant analogue of Matlis duality.",

keywords = "Equivariant local cohomology, Local duality, Matlis duality",

author = "Mitsuyasu Hashimoto and Masahiro Ohtani",

year = "2010",

month = oct,

doi = "10.1016/j.jalgebra.2010.05.017",

language = "English",

volume = "324",

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AU - Hashimoto, Mitsuyasu

AU - Ohtani, Masahiro

PY - 2010/10

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N2 - Generalizing the known results on graded rings and modules, we formulate and prove the equivariant version of the local duality on schemes with a group action. We also prove an equivariant analogue of Matlis duality.

AB - Generalizing the known results on graded rings and modules, we formulate and prove the equivariant version of the local duality on schemes with a group action. We also prove an equivariant analogue of Matlis duality.

KW - Equivariant local cohomology

KW - Local duality

KW - Matlis duality

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DO - 10.1016/j.jalgebra.2010.05.017

M3 - Article

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SP - 1447

EP - 1470

JO - Journal of Algebra

JF - Journal of Algebra

IS - 7

ER -

Equivariant Matlis and the local duality

Abstract

Keywords

ASJC Scopus subject areas

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