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Nefness of adjoint bundles for ample vector bundles of corank 3
Authors:Andrea L Tironi
Institution:1. +56 2. 041 3. 220 4. 4164+56 5. 3321;6. Departamento de Matemática, Universidad de Concepción, Avenida Esteban Iturra s/n ‐ Casilla 160 C ‐ Concepción, , Chile
Abstract:Let urn:x-wiley:0025584X:mana201000075:equation:mana201000075-math-0001 be an ample vector bundle of rank urn:x-wiley:0025584X:mana201000075:equation:mana201000075-math-0002 on a smooth complex projective variety X of dimension n. The aim of this paper is to describe the structure of pairs urn:x-wiley:0025584X:mana201000075:equation:mana201000075-math-0003 as above whose adjoint bundles urn:x-wiley:0025584X:mana201000075:equation:mana201000075-math-0004 are not nef for urn:x-wiley:0025584X:mana201000075:equation:mana201000075-math-0005. Furthermore, we give some immediate consequences of this result in adjunction theory.
Keywords:Manifolds  ample vector bundles  adjoint bundles  adjunction theory  extremal ray  Primary: 14N30  14J60  Secondary: 14C20  14J40  14E30
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