A structure theorem for P^1-Spec k-bimodules

Details A structure theorem for P^1-Spec k-bimodules A structure theorem for P^1-Spec k-bimodules

2011-05-04

arxiv.org/abs/1105.0913v5

Mathematics

Algebraic Geometry

12 pages. Minor changes. Final version, to appear in Algebr. Represent. Theory

Scientific paper

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.

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