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arxiv: 1102.1956 · v1 · pith:7QTDOIECnew · submitted 2011-02-09 · 🧮 math.AG

Derived Category of Fibrations

classification 🧮 math.AG
keywords categoryderivedbundlescollectioncomplexexceptionalfiberfibration
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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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