Hodge ideals for-divisors,-filtration, and minimal exponent

Mircea Mustata, Mihnea Popa

Research output: Contribution to journalArticlepeer-review

1 Scopus citations


We compute the Hodge ideals of-divisors in terms of the-filtration induced by a local defining equation, inspired by a result of Saito in the reduced case. We deduce basic properties of Hodge ideals in this generality, and relate them to Bernstein-Sato polynomials. As a consequence of our study we establish general properties of the minimal exponent, a refined version of the log canonical threshold, and bound it in terms of discrepancies on log resolutions, addressing a question of Lichtin and Kollár.

Original languageEnglish (US)
Article number18
JournalForum of Mathematics, Sigma
StatePublished - 2020


  • 2010 Mathematics Subject Classification: 14F10 14J17 32S25 14D07

ASJC Scopus subject areas

  • Analysis
  • Theoretical Computer Science
  • Algebra and Number Theory
  • Statistics and Probability
  • Mathematical Physics
  • Geometry and Topology
  • Discrete Mathematics and Combinatorics
  • Computational Mathematics

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