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arXiv · 1111.2777

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

Federica Galluzzi·Francesco Vaccarino
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Abstract

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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Federica Galluzzi, Francesco Vaccarino. 2011-11-11. On the smoothness of the scheme of linear representations and the Nori-Hilbert scheme of an associative algebra. https://arxiv.org/abs/1111.2777

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