Foliations on hypersurfaces in holomorphic symplectic manifolds

Abstract:

Let Y be a hypersurface in a 2n-dimensional holomorphic symplectic manifold X. The restriction \sigma|_Y of the holomorphic symplectic form induces a rank one foliation on Y. We investigate situations where this foliation has compact leaves; in such cases we obtain a space of leaves Y/F which has dimension 2n-2 and admits a holomorphic symplectic form.

Available as arXiv:0812.3939 from the e-Print archive.

Back to the main page.

This page last modified by Justin Sawon
Thursday, 15-Jan-2009 11:36:42 MST
Email corrections and comments to sawon@math.sunysb.edu