On Classification of Projective Varieties with Non-Integral Nef Values

Citation:

ZHAO Yicai.On Classification of Projective Varieties with Non-Integral Nef Values[J].Chinese Annals of Mathematics B,2001,22(2):255~262
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Authors:

ZHAO Yicai;

Foundation:

Project supported by the National Natural Science Foundation of China (No.10071032).
Abstract: Let $M$ be a $n$-dimensional normal projective variety with only Gorenstein, terminal, $Q$-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 value morphism is given for the situation when $\tau$ satisfies $n-5<\tau

Keywords:

Nef value morphism, Ample line bundle, Projective variety

Classification:

14J
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