Mathematics > Algebraic Geometry
[Submitted on 5 Jul 2018 (v1), last revised 7 Nov 2018 (this version, v2)]
Title:Hodge ideals for Q-divisors: birational approach
View PDFAbstract: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.
Submission history
From: Mircea Mustata [view email][v1] Thu, 5 Jul 2018 10:26:19 UTC (45 KB)
[v2] Wed, 7 Nov 2018 16:32:39 UTC (45 KB)
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