关于结合代数的线性表示格式和Nori-Hilbert格式的光滑性
On the smoothness of the scheme of linear representations and the Nori-Hilbert scheme of an associative algebra
摘要：
设$k$是一个代数闭域，$A$是一个代数生成的$k-$代数.我们证明了当$A$是遗传的和相干的时，$A$的n维表示的方案是光滑的。我们由此推出与$A.$有关的Nori-Hilbert格式的光滑性
英文摘要：
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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