Rational ruled surfaces as symplectic hyperplane sections

Abstract

We study embeddability of rational ruled surfaces as symplectic hyperplane sections into closed integral symplectic manifolds. From this we obtain results on Stein fillability of Boothby--Wang bundles over rational ruled surfaces.

arXiv commentThe title has changed. Substantially revised version, 25 pages and 1 figure, accepted for publication in Transactions of the AMS