Uniruled symplectic divisors

Details Uniruled symplectic divisors Uniruled symplectic divisors

2007-11-27

arxiv.org/abs/0711.4254v1

Mathematics

Symplectic Geometry

45 pages

Scientific paper

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.

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