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arXiv:1111.2777 [math.AG]AbstractReferencesReviewsResources

On the smoothness of the scheme of linear representations and the Nori-Hilbert scheme of an associative algebra

Federica Galluzzi, Francesco Vaccarino

Published 2011-11-11Version 1

Let $k$ be an algebraically closed field and let $A$ be a finitely generated $k-$algebra. We show that the scheme of n-dimensional representations of $A$ is smooth when $A$ is hereditary and coherent. We deduce from this the smoothness of the Nori-Hilbert scheme associated to $A.$

Comments: 20 pages, submitted for publication
Categories: math.AG, math.RA, math.RT
Subjects: 14A22, 14C05, 16Exx
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