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Smoothness of Derived Categories of Algebras (1810.07626v2)
Published 17 Oct 2018 in math.AG and math.RT
Abstract: We prove smoothness in the dg sense of the bounded derived category of finitely generated modules over any finite-dimensional algebra over a perfect field, hereby answering a question of Iyama. More generally, we prove this statement for any algebra over a perfect field that is finite over its center and whose center is finitely generated as an algebra. These results are deduced from a general sufficient criterion for smoothness.
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