Bondal-Orlov's reconstruction theorem in noncommutative projective geometry
Algebraic Geometry
2024-12-02 v2 Category Theory
Rings and Algebras
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.
Keywords
Cite
@article{arxiv.2411.07813,
title = {Bondal-Orlov's reconstruction theorem in noncommutative projective geometry},
author = {Yuki Mizuno},
journal= {arXiv preprint arXiv:2411.07813},
year = {2024}
}
Comments
29 pages. Added a remark and a lemma. Comments are welcome!