Recombination formulae for the spectrum of curve singularities and some applications

Research output: Working paper/PreprintPreprint

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.
Original languageEnglish GB
PublisherarXiv:1403.5789 [math.AG]
StatePublished - 2014

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