Derived Category of Fibrations

Mathematics – Algebraic Geometry

Scientific paper

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The results in this paper generalize earlier results on toric fibrations contained in arXiv:0908.0846. Accepted for publicatio

Scientific paper

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.

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