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

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

2011-11-11

arxiv.org/abs/1111.2777v1

Mathematics

Algebraic Geometry

20 pages, submitted for publication

Scientific paper

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 $A.$

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