Seven combinatorial problems around isolated quasihomogeneous singularities
type: Item
instance of: scholarly article
title: Seven combinatorial problems around isolated quasihomogeneous singularities
zbMATH Open document ID: 1435.32033
author: Claus Hertling
author: Philip Zilke
published in: Journal of Algebraic Combinatorics
publication date: 2019-12-12T00:00:00Z
full work available at URL: https://arxiv.org/abs/1801.08272
review text: The authors formulate seven combinatorial problems around formulas for the characteristic polynomial and the spectral numbers of a quasihomogeneous singularity. One of them is obtained in the search of a combinatorial proof of an amendment to an old conjecture of Orlik on the integral monodromy of an isolated quasihomogeneous singularity. The problems are formulated in terms of weight systems, cyclotomic polynomials, elementary divisors, tensor products etc.
Mathematics Subject Classification ID: 32S05
zbMATH DE Number: 7142712
zbMATH Keywords: isolated quasihomogeneous singularity
zbMATH Keywords: characteristic polynomial
zbMATH Keywords: combinatorial problems
reviewed by: Vladimir P. Kostov
MaRDI profile type: Publication
OpenAlex ID: W2907341085
arXiv ID: 1801.08272
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DOI: 10.1007/S10801-018-0864-9
description: scientific article