Hodge ideals

Mircea Mustaţă, Mihnea Popa

Research output: Contribution to journalArticlepeer-review

1 Scopus citations

Abstract

We use methods from birational geometry to study the Hodge filtration on the localization along a hypersurface. This filtration leads to a sequence of ideal sheaves, called Hodge ideals, the first of which is a multiplier ideal. We analyze their local and global properties, and use them for applications related to the singularities and Hodge theory of hypersurfaces and their complements.

Original languageEnglish (US)
Pages (from-to)1-92
Number of pages92
JournalMemoirs of the American Mathematical Society
Volume262
Issue number1268
DOIs
StatePublished - Jan 1 2019

ASJC Scopus subject areas

  • Mathematics(all)
  • Applied Mathematics

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