Quantum Cohomology of Hilb^2(P^1xP^1) and Enumerative Applications
Algebraic Geometry
2007-05-23 v1
Abstract
We compute the Small Quantum Cohomology of Hilb^2(P^1xP^1) and determine recursively most of the Big Quantum Cohomology. We prove a relationship between the invariants so obtained and the enumerative geometry of hyperelliptic curves in P^1xP^1. This extends the results obtained by Graber for Hilb^2(P^2) and hyperelliptic curves in P^2.
Cite
@article{arxiv.math/0407508,
title = {Quantum Cohomology of Hilb^2(P^1xP^1) and Enumerative Applications},
author = {Dalide Pontoni},
journal= {arXiv preprint arXiv:math/0407508},
year = {2007}
}
Comments
30 pages