On the smoothness of the scheme of linear representations and the   Nori-Hilbert scheme of an associative algebra
  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 $A.$ 
Federica Galluzzi and Francesco Vaccarino
math.AG math.RA math.RT