Smoothness of Derived Categories of Algebras

Autor:	Elagin, Alexey, Lunts, Valery A., Schnürer, Olaf M.
Rok vydání:	2018
Předmět:	Mathematics - Algebraic Geometry Mathematics - Representation Theory
Druh dokumentu:	Working Paper
Popis:	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. Comment: 32 pages, minor changes
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1810.07626 Zobrazit plný text záznamu View this record from Arxiv