Smoothness of Derived Categories of Algebras
Algebraic Geometry
2019-03-25 v2 Representation Theory
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.
Cite
@article{arxiv.1810.07626,
title = {Smoothness of Derived Categories of Algebras},
author = {Alexey Elagin and Valery A. Lunts and Olaf M. Schnürer},
journal= {arXiv preprint arXiv:1810.07626},
year = {2019}
}
Comments
32 pages, minor changes