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Morita theory for non-commutative noetherian schemes (1911.01242v3)
Published 4 Nov 2019 in math.AG and math.RT
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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