On the normality of secant varieties
Algebraic Geometry
2015-11-06 v2
Abstract
In this paper, we show that the secant variety to a smooth projective variety embedded by a sufficiently positive line bundle is normal. As an application, we deduce that the secant variety to a general canonical curve of genus at least 7 is normal.
Cite
@article{arxiv.1408.0865,
title = {On the normality of secant varieties},
author = {Brooke Ullery},
journal= {arXiv preprint arXiv:1408.0865},
year = {2015}
}
Comments
14 pages; To appear in Advances in Mathematics; Lemma added in section 2 to improve readability