Higher multiplier ideals are introduced as a two-parameter family of ideal sheaves via mixed Hodge modules, with vanishing/restriction theorems proved and new cases of theta divisor conjectures established.
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The normalization of the moduli space of polarized klt good minimal models of arbitrary Kodaira dimension is quasi-projective.
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Higher multiplier ideals
Higher multiplier ideals are introduced as a two-parameter family of ideal sheaves via mixed Hodge modules, with vanishing/restriction theorems proved and new cases of theta divisor conjectures established.
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Quasi-Projective Moduli for Polarized klt Good Minimal Models
The normalization of the moduli space of polarized klt good minimal models of arbitrary Kodaira dimension is quasi-projective.