Stable maps and branch divisors

Details Stable maps and branch divisors Stable maps and branch divisors

1999-05-18

arxiv.org/abs/math/9905104v1

Mathematics

Algebraic Geometry

21 pages, LaTex2e

Scientific paper

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.

Affiliated with

Also associated with

No associations

Rating

Stable maps and branch divisors does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Stable maps and branch divisors, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Stable maps and branch divisors will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-39684