Good filtrations and F-purity of invariant subrings

Mitsuyasu Hashimoto

doi:10.2969/jmsj/06330815

Good filtrations and F-purity of invariant subrings

Mitsuyasu Hashimoto

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

1 Citation (Scopus)

Abstract

Let k be an algebraically closed field of positive characteristic, G a reductive group over k, and V a finite dimensional G-module. Let B be a Borel subgroup of G, and U its unipotent radical. We prove that if S = Sym V has a good filtration, then S^U is F-pure.

Original language	English
Pages (from-to)	815-818
Number of pages	4
Journal	Journal of the Mathematical Society of Japan
Volume	63
Issue number	3
DOIs	https://doi.org/10.2969/jmsj/06330815
Publication status	Published - 2011
Externally published	Yes

Keywords

F-pure
Good filtration
Invariant subring

ASJC Scopus subject areas

Mathematics(all)

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10.2969/jmsj/06330815

Cite this

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abstract = "Let k be an algebraically closed field of positive characteristic, G a reductive group over k, and V a finite dimensional G-module. Let B be a Borel subgroup of G, and U its unipotent radical. We prove that if S = Sym V has a good filtration, then SU is F-pure.",

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AB - Let k be an algebraically closed field of positive characteristic, G a reductive group over k, and V a finite dimensional G-module. Let B be a Borel subgroup of G, and U its unipotent radical. We prove that if S = Sym V has a good filtration, then SU is F-pure.

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KW - Good filtration

KW - Invariant subring

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Good filtrations and F-purity of invariant subrings

Abstract

Keywords

ASJC Scopus subject areas

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