Bondal-Orlov's reconstruction theorem in noncommutative projective geometry

2024/11/12 by Yuki Mizuno, Mizuno, Yuki
Mathematics · Physics and Astronomy · #Advanced Operator Algebra Research #Noncommutative and Quantum Gravity Theories #Homotopy and Cohomology in Algebraic Topology

paper · pdf · doi:10.48550/arxiv.2411.07813

Abstract

We show that Bondal-Orlov's reconstruction theorem holds in noncommutative projective geometry. We also prove that fully faithful exact functors between derived categories of noncommutative projective schemes are of Fourier-Mukai type.

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