On the Bimeromorphic Geometry of Compact Complex Contact Threefolds
Algebraic Geometry
2010-05-11 v2
Abstract
We prove that a compact contact threefold which is bimeromorphically equivalent to a Kaehler manifold and not rationally connected is the projectivised tangent bundle of a Kaehler surface.
Cite
@article{arxiv.0910.4483,
title = {On the Bimeromorphic Geometry of Compact Complex Contact Threefolds},
author = {Kristina Frantzen and Thomas Peternell},
journal= {arXiv preprint arXiv:0910.4483},
year = {2010}
}
Comments
LaTeX, 11 pages, final version (Theorem 2.5 fixed); to appear in a volume on the occasion of the conference "Classification of algebraic varieties" in Schiermonnikoog 2009