Characteristic numbers of rational curves with cusp or prescribed triple contact
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This note pursues the techniques of [Graber-Kock-Pandharipande] to give concise solutions to the characteristic number problem of rational curves in P-2 or P-1 x 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.
Original language | English |
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Journal | Mathematica Scandinavica |
Volume | 92 |
Issue number | 2 |
Pages (from-to) | 223-245 |
Number of pages | 23 |
ISSN | 0025-5521 |
DOIs | |
Publication status | Published - 2003 |
Externally published | Yes |
- ENUMERATIVE GEOMETRY, PLANE-CURVES, FORMULAS
Research areas
ID: 331504679