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arXiv · 1911.01242

Morita theory for non-commutative noetherian schemes

Igor Burban·Yuriy Drozd
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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.

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Igor Burban, Yuriy Drozd. 2019-11-04. Morita theory for non-commutative noetherian schemes. https://doi.org/10.1016/j.aim.2022.108273

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