Regularity in codimension one of orbit closures in module varieties
Algebraic Geometry
2007-05-23 v2 Representation Theory
Abstract
Let M_d(k) denote the space of dxd-matrices with coefficients in an algebraically closed field k. Let X be an orbit closure in the product [M_d(k)]^t equipped with the action of the general linear group GL_d(k) by simultaneous conjugation. We show that X is regular at any its point y such that the orbit of y has codimension one in X. The proof uses mainly the representation theory of associative algebras.
Cite
@article{arxiv.math/0402359,
title = {Regularity in codimension one of orbit closures in module varieties},
author = {Grzegorz Zwara},
journal= {arXiv preprint arXiv:math/0402359},
year = {2007}
}
Comments
28 pages