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arXiv · 1810.07626

Smoothness of Derived Categories of Algebras

Alexey Elagin·Valery A. Lunts·Olaf M. Schnürer
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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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Alexey Elagin, Valery A. Lunts, Olaf M. Schnürer. 2018-10-17. Smoothness of Derived Categories of Algebras. https://arxiv.org/abs/1810.07626

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