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Pré-Publication, Document De Travail Année : 2008

Effective non-vanishing conjectures for projective threefolds

Andreas Hoering

Résumé

Let X be a smooth projective threefold, and let A be an ample line bundle such that K_X+A is nef. We show that if K_X or -K_X is pseudoeffective, the adjoint bundle K_X+A has global sections. We also give a very short proof of the Beltrametti-Sommese conjecture in dimension three, recently proven by Fukuma: if A is an ample line bundle such that K_X+2A is nef, the adjoint bundle K_X+2A has global sections.

Dates et versions

hal-00356734 , version 1 (28-01-2009)

Identifiants

Citer

Amaël Broustet, Andreas Hoering. Effective non-vanishing conjectures for projective threefolds. 2008. ⟨hal-00356734⟩
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