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arXiv · 1403.5789

Recombination formulae for the spectrum of curve singularities and some applications

Dmitry Kerner
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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.

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Dmitry Kerner. 2014-05-16. Recombination formulae for the spectrum of curve singularities and some applications. https://arxiv.org/abs/1403.5789

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