Genus one enumerative invariants in P^n with fixed j invariant
| dc.creator | Ionel, Eleny | |
| dc.date | 1996-08-26 | |
| dc.date.accessioned | 2026-07-07T09:06:57Z | |
| dc.date.available | 2026-07-07T09:06:57Z | |
| dc.description | We prove recursive formulas for $τ_d$, the number of degree $d$ elliptic curves with fixed j-invariant in P^n. We use analysis to relate the classical invariant $τ_d$ to the genus one perturbed invariant $RT_{1,d}$ defined recently by Ruan and Tian (the later invariant can be computed inductively). By considering a sequence of perturbations converging to zero, we then apply Taubes' Obstruction Bundle method to compute the difference between the two invariants. | |
| dc.description | LaTeX, 38 pages | |
| dc.identifier | https://arxiv.org/abs/alg-geom/9608030 | |
| dc.identifier | http://arxiv.org/abs/alg-geom/9608030 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/150197 | |
| dc.subject | Algebraic Geometry | |
| dc.title | Genus one enumerative invariants in P^n with fixed j invariant | |
| dc.type | text |