On Hodge spectrum and multiplier ideals
type: Item
instance of: scholarly article
title: On Hodge spectrum and multiplier ideals
zbMATH Open document ID: 1035.14010
author: Nero Budur
published in: Mathematische Annalen
publication date: 2003-12-16T00:00:00Z
full work available at URL: https://arxiv.org/abs/math/0210254
review text: The article relates the Hodge spectrum of a hypersurface singularity and the jumping number of the multiplier ideals of an effective divisor, computed at the singular point. The main result states that, under some mild restrictions, the multiplicities of the Hodge spectral numbers of a singular point and the respective inner jump multiplicities coincide. The proof relies on the motivic integration theory and the Denef-Loeser computation of the Hodge spectrum via the log resolution.
Mathematics Subject Classification ID: 14J17
Mathematics Subject Classification ID: 14B05
Mathematics Subject Classification ID: 32S35
Mathematics Subject Classification ID: 14J70
Mathematics Subject Classification ID: 14C30
zbMATH DE Number: 2018269
zbMATH Keywords: hypersurface singularities
zbMATH Keywords: mixed Hodge structure
zbMATH Keywords: multiplier ideals
zbMATH Keywords: log resolution
reviewed by: Eugenii I. Shustin
MaRDI profile type: Publication
OpenAlex ID: W2077519035
arXiv ID: math/0210254
DOI: 10.1007/S00208-003-0450-9
description: scientific article