A characteristic p analog of multiplier ideals and applications

Nobuo Hara

Research output: Contribution to journalArticlepeer-review

18 Citations (Scopus)


We present two applications of a characteristic p analog of multiplier ideals, which is a generalization of the test ideal in the theory of tight closure. Namely, we give alternative proofs to Smith's result on base-point-freeness of adjoint bundles in characteristic p > 0 and results on uniform behavior of symbolic powers in a regular local ring due to Ein, Lazarsfeld and Smith, and Hochster and Huneke.

Original languageEnglish
Pages (from-to)3375-3388
Number of pages14
JournalCommunications in Algebra
Issue number10
Publication statusPublished - 2005 Sep 1


  • Multiplier ideal
  • Test ideal
  • Tight closure
  • Uniform bound

ASJC Scopus subject areas

  • Algebra and Number Theory


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