Severi Degrees in Cogenus 3

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.

AMSLaTex 12 pages

References in corpus (1)

• Enumeration of $n$-fold tangent hyperplanes to a surface

Cited by in corpus (3)

• On the enumeration of complex plane curves with two singular points
• Node polynomials for families: results and examples
• Labeled floor diagrams for plane curves