Stable maps and branch divisors
| dc.creator | Fantechi, B. | |
| dc.creator | Pandharipande, R. | |
| dc.date | 1999-05-18 | |
| dc.date.accessioned | 2026-07-07T05:29:07Z | |
| dc.date.available | 2026-07-07T05:29:07Z | |
| dc.description | We construct a natural branch divisor for equidimensional projective morphisms where the domain has lci singularities and the target is nonsingular. The method involves generalizing a divisor contruction of Mumford from sheaves to complexes. The construction is valid in flat families. The generalized branch divisor of a stable map to a nonsingular curve X yields a canonical morphism from the space of stable maps to a symmetric product of X. This branch morphism (together with virtual localization) is used to compute the Hurwitz numbers of covers of P^1 for all genera and degrees in terms of Hodge integrals. | |
| dc.description | 21 pages, LaTex2e | |
| dc.identifier | https://arxiv.org/abs/math/9905104 | |
| dc.identifier | http://arxiv.org/abs/math/9905104 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/78514 | |
| dc.subject | Algebraic Geometry | |
| dc.title | Stable maps and branch divisors | |
| dc.type | text |