×

zbMATH — the first resource for mathematics

Restriction, subadditivity, and semicontinuity theorems for Hodge ideals. (English) Zbl 1408.14074
Summary: We prove results concerning the behavior of Hodge ideals under restriction to hypersurfaces or fibers of morphisms, and addition. The main tool is the description of restriction functors for mixed Hodge modules by means of the \(V\)-filtration.

MSC:
14F18 Multiplier ideals
14C20 Divisors, linear systems, invertible sheaves
32S35 Mixed Hodge theory of singular varieties (complex-analytic aspects)
PDF BibTeX XML Cite
Full Text: DOI arXiv