Seshadri constants on symmetric products of curves
Algebraic Geometry
2007-05-23 v2
Abstract
Let X_g=C^{(2)}_g be the second symmetric product of a very general curve of genus g. We reduce the problem of describing the ample cone on X_g to a problem involving the Seshadri constant of a point on X_{g-1}. Using this we recover a result of Ciliberto-Kouvidakis that reduces finding the ample cone of X_g to the Nagata conjecture when g\ge 9. We also give new bounds on the the ample cone of X_g when g=5.
Keywords
Cite
@article{arxiv.math/0608224,
title = {Seshadri constants on symmetric products of curves},
author = {J. Ross},
journal= {arXiv preprint arXiv:math/0608224},
year = {2007}
}
Comments
Minor corrections, mostly typographical and exposition improved