Recombination formulae for the spectrum of curve singularities and some applications
Algebraic Geometry
2014-05-19 v2
Abstract
We obtain some recombination formulae for the spectra of (complex, reduced) plane curve singularities. As an application we prove: a generalization of Durfee's bound; a generalization of Givental's bound; the multiplicity of the curve singularity is determined by its spectrum; for many curve singularities all the multiplicities of exceptional divisors of the resolution are determined by the spectrum; etc.
Keywords
Cite
@article{arxiv.1403.5789,
title = {Recombination formulae for the spectrum of curve singularities and some applications},
author = {Dmitry Kerner},
journal= {arXiv preprint arXiv:1403.5789},
year = {2014}
}
Comments
a short preliminary announcement