Characteristic numbers of rational curves with cusp or prescribed triple contact

Authors

  • Joachim Kock

DOI:

https://doi.org/10.7146/math.scand.a-14402

Abstract

This note pursues the techniques of [Graber-Kock-Pandharipande] to give concise solutions to the characteristic number problem of rational curves in $\boldsymbol P^2$ or $\boldsymbol P^1\times\boldsymbol P^1$ with a cusp or a prescribed triple contact. The classes of such loci are computed in terms of modified psi classes, diagonal classes, and certain codimension-2 boundary classes. Via topological recursions the generating functions for the numbers can then be expressed in terms of the usual characteristic number potentials.

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Published

2003-06-01

How to Cite

Kock, J. (2003). Characteristic numbers of rational curves with cusp or prescribed triple contact. MATHEMATICA SCANDINAVICA, 92(2), 223–245. https://doi.org/10.7146/math.scand.a-14402

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Articles