Morita theory for non-commutative noetherian schemes
arXiv:1911.01242 · doi:10.1016/j.aim.2022.108273
Abstract
In this paper, we study equivalences between the categories of quasi-coherent sheaves on non-commutative noetherian schemes. In particular, give a new proof of Caldararu's conjecture about Morita equivalences of Azumaya algebras on noetherian schemes. Moreover, we derive necessary and sufficient condition for two reduced non-commutative curves to be Morita equivalent.
38 pages