Projective Contact Manifolds
Algebraic Geometry
2007-05-23 v2
Abstract
We prove that a projective contact manifold X with second Betti number at least 2 whose canonical bundle K_X is not nef, is always the projectivised tangent bundle P(T_Y) of a projective manifold Y. It is expected that the canonical bundle of a projective contact manifold is never nef; we prove this unless possibly K_X^2 = 0 and K_X is not numerically trivial. Moreover we study more generally nef subsheaves of rank 1 in the cotangent bundle which are proportional to the canonical bundle.
Keywords
Cite
@article{arxiv.math/9810102,
title = {Projective Contact Manifolds},
author = {Stefan Kebekus and Thomas Peternell and Andrew J. Sommese and Jaroslaw Wisniewski},
journal= {arXiv preprint arXiv:math/9810102},
year = {2007}
}
Comments
LaTeX 2e, revised version