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arxiv: 1606.05659 · v2 · pith:EKP5UZWLnew · submitted 2016-06-17 · 🧮 math.AG

Restriction, subadditivity, and semicontinuity theorems for Hodge ideals

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keywords hodgerestrictionidealsadditionbehaviorconcerningdescriptionfibers
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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.

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