Nefness of adjoint bundles for ample vector bundles of corank 3
Andrea Luigi Tironi
Abstract
Andrea Luigi Tironi
Abstract
Let be an ample vector bundle of rank on a smooth complex projective variety X of dimension n. The aim of this paper is to describe the structure of pairs as above whose adjoint bundles are not nef for . Furthermore, we give some immediate consequences of this result in adjunction theory.
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Let be an ample vector bundle of rank on a smooth complex projective variety X of dimension n. The aim of this paper is to describe the structure of pairs as above whose adjoint bundles are not nef for . Furthermore, we give some immediate consequences of this result in adjunction theory.
Key concepts: Vector bundle, Mathematics, Adjunction, Rank (graph theory), Projective variety, Pure mathematics, Dimension (graph theory), Variety (cybernetics)