Seven combinatorial problems around quasihomogeneous singularities
Combinatorics
2018-01-26 v1 Algebraic Geometry
Complex Variables
Abstract
This paper proposes seven combinatorial problems around formulas for the characteristic polynomial and the spectral numbers of a quasihomogeneous singularity. One of them is a new conjecture on the characteristic polynomial. It is an amendment to an old conjecture of Orlik on the integral monodromy of a quasihomogeneous singularity. The search for a combinatorial proof of the new conjecture led us to the seven purely combinatorial problems.
Cite
@article{arxiv.1801.08272,
title = {Seven combinatorial problems around quasihomogeneous singularities},
author = {Claus Hertling and Philip Zilke},
journal= {arXiv preprint arXiv:1801.08272},
year = {2018}
}
Comments
37 pages, 9 figures