Good filtrations and F-purity of invariant subrings

Mitsuyasu Hashimoto

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1 Citation (Scopus)


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.

Original languageEnglish
Pages (from-to)815-818
Number of pages4
JournalJournal of the Mathematical Society of Japan
Issue number3
Publication statusPublished - 2011
Externally publishedYes


  • F-pure
  • Good filtration
  • Invariant subring

ASJC Scopus subject areas

  • Mathematics(all)


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