Mathematical Research Letters

Volume 18 (2011)

Number 3

Derived category of fibrations

Pages: 425 – 432



L. Costa

R. M. Miró-Roig

S. Di Rocco


In this paper we give a structure theorem for the derived category $D^b(X)$ of a Zariski locally trivial fibration $X$ over $Z$ with fiber $F$ provided both $F$ and $Z$ have a full strongly exceptional collection of line bundles.

Published 20 May 2011