Arcs on Determinantal Varieties
Algebraic Geometry
2015-04-15 v2
Abstract
We study arc spaces and jet schemes of generic determinantal varieties. Using the natural group action, we decompose the arc spaces into orbits, and analyze their structure. This allows us to compute the number of irreducible components of jet schemes, log canonical thresholds, and topological zeta functions.
Keywords
Cite
@article{arxiv.1011.1930,
title = {Arcs on Determinantal Varieties},
author = {Roi Docampo},
journal= {arXiv preprint arXiv:1011.1930},
year = {2015}
}
Comments
27 pages. This is part of the author's PhD thesis at the University of Illinois at Chicago. v2: Minor changes. To appear in Transactions of the American Mathematical Society