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 language | English (US) |
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Pages (from-to) | 453-478 |
Number of pages | 26 |
Journal | Inventiones Mathematicae |
Volume | 220 |
Issue number | 2 |
DOIs | |
State | Published - May 1 2020 |
ASJC Scopus subject areas
- Mathematics(all)