Lectures on curves on varieties -- Lisbon, 2009
Algebraic Geometry
2010-02-24 v2 Symplectic Geometry
Abstract
These lectures give a short introduction to the study of curves on algebraic varieties. After an elementary proof of the dimension formula for the space of curves, we summarize the basic properties of uniruled and of rationally connected varieties. At the end, some connections with symplectic geometry are considered.
Keywords
Cite
@article{arxiv.0908.4241,
title = {Lectures on curves on varieties -- Lisbon, 2009},
author = {János Kollár},
journal= {arXiv preprint arXiv:0908.4241},
year = {2010}
}
Comments
Final version to appear under the title "Holomorphic and pseudo-holomorphic curves on rationally connected varieties"