Birational Geometry of Rationally Connected Manifolds via Quasi-lines
Abstract
Description
This is, mostly, a survey of results about the birational geometry of rationally connected manifolds, using rational curves analogous to lines in ${\mathbb P}^n$ ({\it quasi-lines}). Various characterizations of a Zariski neighbourhood of a line in ${\mathbb P}^n$ are obtained, some of them being new. Also, methods of formal geometry are applied for deducing results of birational nature.
To appear in Proceedings of Siena Conference "Varieties with Unexpected Properties", 2004
To appear in Proceedings of Siena Conference "Varieties with Unexpected Properties", 2004