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arXiv:1102.1956 [math.AG]AbstractReferencesReviewsResources

Derived Category of Fibrations

L. Costa, S. Di Rocco, R. M. Miró-Roig

Published 2011-02-09Version 1

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.

Comments: The results in this paper generalize earlier results on toric fibrations contained in arXiv:0908.0846. Accepted for publication on Mathematical Research Letter
Categories: math.AG
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