Singularity invariants related to Milnor fibers: survey
type: Item
instance of: scholarly article
title: Singularity invariants related to Milnor fibers: survey
zbMATH Open document ID: 1254.14005
author: Nero Budur
published in: Zeta Functions in Algebra and Geometry
publication date: 2012-10-06T00:00:00Z
full work available at URL: https://arxiv.org/abs/1012.3150
full work available at URL: http://citeseerx.ist.psu.edu/viewdoc/summary
Mathematics Subject Classification ID: 14B05
Mathematics Subject Classification ID: 32S05
zbMATH DE Number: 6092112
zbMATH Keywords: singularity
zbMATH Keywords: survey
zbMATH Keywords: Monodromy
zbMATH Keywords: Resolution of singularities
describes a project that uses: SINGULAR
describes a project that uses: Macaulay2
MaRDI profile type: Publication
OpenAlex ID: W4213058885
arXiv ID: 1012.3150
DOI: 10.1090/CONM/566/11220
review text: A survey of some singularity invariants related to the Milnor fibre is given. These invariants related toNEWLINENEWLINE1) MonodromyNEWLINENEWLINE2) Asymptotic expansions, multipliersNEWLINENEWLINE3) Resolution of singularitiesNEWLINENEWLINE4) Mixed Hodge StructureNEWLINENEWLINE5) Arc spaceNEWLINENEWLINE6) Riemann--Hilbert correspondenceNEWLINENEWLINE7) \(b\)--functionNEWLINENEWLINE8) \(\log\) canonical thresholdNEWLINENEWLINE9) \(p\)--adic local zeta functionNEWLINENEWLINEThere is a chapter, \textit{Practical Aspects}, considering certain classes of singularities, explaining how to compute the invariants.NEWLINENEWLINEFor the entire collection see [Zbl 1242.11004].
reviewed by: Gerhard Pfister
description: scientific article; zbMATH DE number 6092112