Uniruled symplectic divisors
Symplectic Geometry
2007-11-28 v1 Algebraic Geometry
Abstract
This is a paper devoted to the symplectic birational geometry program where many basic notions are defined in terms of genus 0 GW invariants. We show that the existence of a positive uniruled symplectic divisor often implies that the ambient manifold has a nonzero uniruled genus 0 GW invariant, hence is uniruled as well. This confirms a part of the dichotomy on uniruled symplectic divisors. In addition, it gives a rather general construction of uniruled symplectic manifolds, generalizing some beautiful results of McDuff.
Cite
@article{arxiv.0711.4254,
title = {Uniruled symplectic divisors},
author = {Tian-Jun Li and Yongbin Ruan},
journal= {arXiv preprint arXiv:0711.4254},
year = {2007}
}
Comments
45 pages