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Some adjunction properties of ample vector bundles

Hironobu Ishihara
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Abstract

Let $E$ be an ample vector bundle of rank $r$ on a projective variety $X$ with only log-terminal singularities. We consider the nefness of adjoint divisors $K_X+(t-r)det(E)$ when $t>=dim(X)$ and $t>r$. As a corollary, we classify pairs $(X,E)$ with $c_r$-sectional genus zero.

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Hironobu Ishihara. 1999-02-19. Some adjunction properties of ample vector bundles. https://arxiv.org/abs/math/9902113

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