Jet schemes of determinantal varieties
Algebraic Geometry
2007-05-23 v1 Commutative Algebra
Abstract
This article studies the scheme structure of the jet schemes of determinantal varieties. We show that in general, these jet schemes are not irreducible. In the case of the determinantal variety of matrices of rank at most one, we give a formula for the dimension of each of the components of its jet schemes. As an application, we compute the log canonical threshold of the pair .
Keywords
Cite
@article{arxiv.math/0608632,
title = {Jet schemes of determinantal varieties},
author = {Cornelia Yuen},
journal= {arXiv preprint arXiv:math/0608632},
year = {2007}
}
Comments
10 pages, this is part of the author's PhD thesis at the University of Michigan