Kernels for Noncommutative Projective Schemes
Rings and Algebras
2018-02-22 v2 Algebraic Geometry
Category Theory
Quantum Algebra
Abstract
We give a noncommutative geometric description of the internal Hom dg-category in the homotopy category of dg-categories between two noncommutative projective schemes in the style of Artin-Zhang. As an immediate application, we give a noncommutative projective derived Morita statement along lines of Rickard and Orlov.
Cite
@article{arxiv.1709.06470,
title = {Kernels for Noncommutative Projective Schemes},
author = {Matthew R. Ballard and Blake A. Farman},
journal= {arXiv preprint arXiv:1709.06470},
year = {2018}
}
Comments
26 pages; comments welcome. Revised version, minor changes