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On classification of polarized varieties with non-integral nef values
Authors:Yicai Zhao
Affiliation:Department of Mathematics, Jinan University, Guangzhou 510632, People's Republic of China
Abstract:

Let $M$ be an $n$-dimensional normal projective variety with only Gorenstein, terminal, $mathbb{Q}$-factorial singularities. Let $L$ be an ample line bundle on $M$. Let $tau$ denote the nef value of $(M,L)$. The classification of $(M,L)$ via the nef value morphism is given for the situations when $tau$satisfies $n-3<tau<n-2$ or $n-4<tau<n-3$.

Keywords:Nef value morphism   ample line bundle   projective variety
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