On the smoothness of the scheme of linear representations and the Nori-Hilbert scheme of an associative algebra
classification
🧮 math.AG
math.RAmath.RT
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schemealgebranori-hilbertrepresentationssmoothnessalgebraicallyassociatedassociative
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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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