Kodaira dimension of symmetric powers
Algebraic Geometry
2007-05-23 v1
Abstract
In this short note, we determine the Kodaira dimension and some of the plurigenera of (a desingularization of) a symmetric power of a smooth projective variety. We use it to obtain bounds on the genus of curve passing through a fixed number of general points.
Keywords
Cite
@article{arxiv.math/0006107,
title = {Kodaira dimension of symmetric powers},
author = {Donu Arapura and Sviatoslav Archava},
journal= {arXiv preprint arXiv:math/0006107},
year = {2007}
}
Comments
4 pages, latex