Morita theory for non-commutative noetherian schemes
Algebraic Geometry
2022-06-30 v3 Representation Theory
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.
Keywords
Cite
@article{arxiv.1911.01242,
title = {Morita theory for non-commutative noetherian schemes},
author = {Igor Burban and Yuriy Drozd},
journal= {arXiv preprint arXiv:1911.01242},
year = {2022}
}
Comments
38 pages