A structure theorem for P^1-Spec k-bimodules
Algebraic Geometry
2011-11-14 v5 Category Theory
Abstract
Let k be an algebraically closed field. Using the Eilenberg-Watts theorem over schemes, we determine the structure of k-linear right exact direct limit and coherence preserving functors from the category of quasi-coherent sheaves on P^1_k to the category of vector spaces over k. As a consequence, we characterize those functors which are integral transforms.
Cite
@article{arxiv.1105.0913,
title = {A structure theorem for P^1-Spec k-bimodules},
author = {Adam Nyman},
journal= {arXiv preprint arXiv:1105.0913},
year = {2011}
}
Comments
12 pages. Minor changes. Final version, to appear in Algebr. Represent. Theory