Regularity in codimension one of orbit closures in module varieties
Abstract
Let Md(k) denote the space of dxd-matrices with coefficients in an algebraically closed field k. Let X be an orbit closure in the product [Md(k)]t equipped with the action of the general linear group GLd(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.
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