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On classification of polarized varieties with non-integral nef values

Author(s): Yicai Zhao
Journal: Proc. Amer. Math. Soc. 129 (2001), 1907-1913.
MSC (2000): Primary 14Jxx
Posted: December 4, 2000
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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 $n-4<\tau<n-3$.

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Additional Information:

Yicai Zhao
Affiliation: Department of Mathematics, Jinan University, Guangzhou 510632, People's Republic of China

DOI: 10.1090/S0002-9939-00-05827-5
PII: S 0002-9939(00)05827-5
Keywords: Nef value morphism, ample line bundle, projective variety
Received by editor(s): September 14, 1998
Received by editor(s) in revised form: November 1, 1999
Posted: December 4, 2000
Communicated by: Ron Donagi
Copyright of article: Copyright 2000, American Mathematical Society

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