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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Refines Katsura theorem on abelian surface quotients birational to K3 surfaces and computes Frobenius traces on NS groups of supersingular generalized Kummer surfaces over finite fields.
citing papers explorer
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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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Generalized Kummer surfaces over finite fields
Refines Katsura theorem on abelian surface quotients birational to K3 surfaces and computes Frobenius traces on NS groups of supersingular generalized Kummer surfaces over finite fields.