English

Severi Degrees in Cogenus 3

alg-geom 2015-06-30 v1 Algebraic Geometry

Abstract

In this short note, a new computation of the degree of the locus of 3-nodal plane curves in the linear system of degree d plane curves is given. The answer is expressed as a tautological class on a blow-up of the Hilbert scheme of 3 points in the plane. The class is evaluated by the Bott residue formula.

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Cite

@article{arxiv.alg-geom/9504003,
  title  = {Severi Degrees in Cogenus 3},
  author = {J. Harris and R. Pandharipande},
  journal= {arXiv preprint arXiv:alg-geom/9504003},
  year   = {2015}
}

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AMSLaTex 12 pages