Genus g Gromov-Witten invariants of Del Pezzo surfaces: Counting plane curves with fixed multiple points
| dc.creator | Vakil, Ravi | |
| dc.date | 1997-09-04 | |
| dc.date.accessioned | 2026-07-07T09:07:24Z | |
| dc.date.available | 2026-07-07T09:07:24Z | |
| dc.description | As another application of the degeneration methods of [V3], we count the number of irreducible degree $d$ geometric genus $g$ plane curves, with fixed multiple points on a conic $E$, not containing $E$, through an appropriate number of general points in the plane. As a special case, we count the number of irreducible genus $g$ curves in any divisor class $D$ on the blow-up of the plane at up to five points (no three collinear). We then show that these numbers give the genus $g$ Gromov-Witten invariants of the surface. Finally, we suggest a direction from which the remaining del Pezzo surfaces can be approached, and give a conjectural algorithm to compute the genus g Gromov-Witten invariants of the cubic surface. | |
| dc.description | LaTeX2e | |
| dc.identifier | https://arxiv.org/abs/alg-geom/9709004 | |
| dc.identifier | http://arxiv.org/abs/alg-geom/9709004 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/150358 | |
| dc.subject | Algebraic Geometry | |
| dc.title | Genus g Gromov-Witten invariants of Del Pezzo surfaces: Counting plane curves with fixed multiple points | |
| dc.type | text |