Abstract
We develop the theory of Hodge ideals for Q-divisors by means of log resolutions, extending our previous work on reduced hypersurfaces. We prove local (non-)triviality criteria and a global vanishing theorem, as well as other analogues of standard results from the theory of multiplier ideals, and we derive a new local vanishing theorem. The connection with the V -filtration is analyzed in a sequel.
Original language | English (US) |
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Pages (from-to) | 283-328 |
Number of pages | 46 |
Journal | Journal de l'Ecole Polytechnique - Mathematiques |
Volume | 6 |
DOIs | |
State | Published - 2019 |
Keywords
- D-modules
- Hodge filtration
- Hodge ideals
- Minimal exponent
- Vanishing theorems
ASJC Scopus subject areas
- Mathematics(all)