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arXiv · 1108.4489

Nefness of adjoint bundles for ample vector bundles of corank 3

Andrea Luigi Tironi
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Abstract

Let $\mathcal{E}$ be an ample vector bundle of rank $r\geq 2$ on a smooth complex projective variety $X$ of dimension $n$. The aim of this paper is to describe the structure of pairs $(X,\mathcal{E})$ as above whose adjoint bundles $K_X+\det\mathcal{E}$ are not nef for $r=n-3$. Furthermore, we give some immediate consequences of this result in adjunction theory.

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Andrea Luigi Tironi. 2011-08-23. Nefness of adjoint bundles for ample vector bundles of corank 3. https://arxiv.org/abs/1108.4489

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