The Eilenberg-Watts theorem over schemes

2Citations
Citations of this article
2Readers
Mendeley users who have this article in their library.
Get full text

Abstract

We study obstructions to a direct limit preserving right exact functor F between categories of quasi-coherent sheaves on schemes being isomorphic to tensoring with a bimodule. When the domain scheme is affine, or if F is exact, all obstructions vanish and we recover the Eilenberg-Watts Theorem. This result is crucial to the proof that the noncommutative Hirzebruch surfaces constructed in C. Ingalls, D. Patrick (2002) [6] are noncommutative P1-bundles in the sense of M. Van den Bergh [10]. © 2010 Elsevier B.V.

Cite

CITATION STYLE

APA

Nyman, A. (2010). The Eilenberg-Watts theorem over schemes. Journal of Pure and Applied Algebra, 214(11), 1922–1954. https://doi.org/10.1016/j.jpaa.2009.12.030

Register to see more suggestions

Mendeley helps you to discover research relevant for your work.

Already have an account?

Save time finding and organizing research with Mendeley

Sign up for free