Species and non-commutative P^1's over non-algebraic bimodules
Representation Theory
2015-10-16 v1 Algebraic Geometry
Abstract
We study non-commutative projective lines over not necessarily algebraic bimodules. In particular, we give a complete description of their categories of coherent sheaves and show they are derived equivalent to certain bimodule species. This allows us to classify modules over these species and thus generalize, and give a geometric interpretation for, results of C. Ringel.
Keywords
Cite
@article{arxiv.1510.04626,
title = {Species and non-commutative P^1's over non-algebraic bimodules},
author = {D. Chan and A. Nyman},
journal= {arXiv preprint arXiv:1510.04626},
year = {2015}
}
Comments
30 pages