Smoothness of Derived Categories of Algebras

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 cente...

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Hauptverfasser: Elagin, Alexey, Lunts, Valery A, Schnürer, Olaf M
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Sprache:eng
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Zusammenfassung: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.
DOI:10.48550/arxiv.1810.07626