A Fano-Mori space is a projective morphism with connected fibers and canonical class relatively antiample. These objects are conjecturally the building blocks of uniruled varieties and of projective morphisms between smooth varieties. In the paper are investigated properties of the fundamental divisor of Fano-Mori spaces. It is proved a relative base point freeness result, conjectured by Andreatta and Wisniewski, and a relative good divisor statement for del Pezzo fibrations.
On del Pezzo fibrations
MELLA, Massimiliano
1999
Abstract
A Fano-Mori space is a projective morphism with connected fibers and canonical class relatively antiample. These objects are conjecturally the building blocks of uniruled varieties and of projective morphisms between smooth varieties. In the paper are investigated properties of the fundamental divisor of Fano-Mori spaces. It is proved a relative base point freeness result, conjectured by Andreatta and Wisniewski, and a relative good divisor statement for del Pezzo fibrations.File in questo prodotto:
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