Birational Geometry of Rationally Connected Manifolds via Quasi-lines
Algebraic Geometry
2007-05-23 v1
Abstract
This is, mostly, a survey of results about the birational geometry of rationally connected manifolds, using rational curves analogous to lines in ({\it quasi-lines}). Various characterizations of a Zariski neighbourhood of a line in are obtained, some of them being new. Also, methods of formal geometry are applied for deducing results of birational nature.
Keywords
Cite
@article{arxiv.math/0502160,
title = {Birational Geometry of Rationally Connected Manifolds via Quasi-lines},
author = {Paltin Ionescu},
journal= {arXiv preprint arXiv:math/0502160},
year = {2007}
}
Comments
To appear in Proceedings of Siena Conference "Varieties with Unexpected Properties", 2004