Derived Category of Fibrations
Algebraic Geometry
2011-02-10 v1
Abstract
Let X ->Y be a Zariski locally trivial fibration of smooth complex projective varieties, with fiber F. We give a structure theorem for the derived category of X provided both F and Z have a full strongly exceptional collection of line bundles.
Cite
@article{arxiv.1102.1956,
title = {Derived Category of Fibrations},
author = {L. Costa and S. Di Rocco and R. M. Miró-Roig},
journal= {arXiv preprint arXiv:1102.1956},
year = {2011}
}
Comments
The results in this paper generalize earlier results on toric fibrations contained in arXiv:0908.0846. Accepted for publication on Mathematical Research Letter