The genus zero Gromov-Witten invariants of [Sym^2 P^2]
| dc.creator | Wise, Jonathan | |
| dc.date | 2007-02-08 | |
| dc.date | 2008-07-25 | |
| dc.date.accessioned | 2026-07-07T09:52:40Z | |
| dc.date.available | 2026-07-07T09:52:40Z | |
| dc.description | We study the Abramovich--Vistoli moduli space of genus zero orbifold stable maps to [Sym^2 P^2], the stack symmetric square of P^2. This compactifies the moduli space of stable maps from hyperelliptic curves to P^2, and we show that all genus zero Gromov--Witten invariants are determined from trivial enumerative geometry of hyperelliptic curves. We also show how the genus zero Gromov--Witten invariants can be used to determine the number of hyperelliptic curves of degree d and genus g interpolating 3d + 1 generic points in P^2. Comparing our method to that of Graber for calculating the same numbers, we verify an example of the crepant resolution conjecture. | |
| dc.description | 33 pages; mostly rewritten, many errors corrected; all comments welcome | |
| dc.identifier | https://arxiv.org/abs/math/0702219 | |
| dc.identifier | http://arxiv.org/abs/math/0702219 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/165678 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | 14N35; 14N10 | |
| dc.title | The genus zero Gromov-Witten invariants of [Sym^2 P^2] | |
| dc.type | text |