Hodge filtration, minimal exponent, and local vanishing

Mircea Mustaţă, Mihnea Popa*

*Corresponding author for this work

Research output: Contribution to journalArticle

Abstract

We bound the generation level of the Hodge filtration on the localization along a hypersurface in terms of its minimal exponent. As a consequence, we obtain a local vanishing theorem for sheaves of forms with log poles. These results are extended to Q-divisors, and are derived from a result of independent interest on the generation level of the Hodge filtration on nearby and vanishing cycles.

Original languageEnglish (US)
Pages (from-to)453-478
Number of pages26
JournalInventiones Mathematicae
Volume220
Issue number2
DOIs
StatePublished - May 1 2020

ASJC Scopus subject areas

  • Mathematics(all)

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