Ampleness of canonical divisors of hyperbolic normal projective varieties

Fei Hu; Sheng Meng; De Qi Zhang

doi:10.1007/s00209-014-1351-1

Ampleness of canonical divisors of hyperbolic normal projective varieties

Fei Hu
, Sheng Meng
, De Qi Zhang^*

^*此作品的通讯作者

National University of Singapore

科研成果: 期刊稿件 › 文章 › 同行评审

8 引用（Scopus）

摘要

Let X be a projective variety which is algebraic Lang hyperbolic.We show that Lang conjecture holds one direction only X and all its subvarieties are of general type and the canonical divisor KX is ample at smooth points and Kawamata log terminal points of X provided that KX is Q-Cartier no Calabivariety is algebraic Lang hyperbolic and a weak abundance conjecture holds.

源语言	英语
页（从-至）	1179-1193
页数	15
期刊	Mathematische Zeitschrift
卷	278
期	3-4
DOI	https://doi.org/10.1007/s00209-014-1351-1
出版状态	已出版 - 12 11月 2014
已对外发布	是

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title = "Ampleness of canonical divisors of hyperbolic normal projective varieties",

abstract = "Let X be a projective variety which is algebraic Lang hyperbolic.We show that Lang conjecture holds one direction only X and all its subvarieties are of general type and the canonical divisor KX is ample at smooth points and Kawamata log terminal points of X provided that KX is Q-Cartier no Calabivariety is algebraic Lang hyperbolic and a weak abundance conjecture holds.",

keywords = "Algebraic Lang hyperbolic variety, Ample canonical divisor",

author = "Fei Hu and Sheng Meng and Zhang, \{De Qi\}",

note = "Publisher Copyright: {\textcopyright} 2014, Springer-Verlag Berlin Heidelberg.",

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AU - Hu, Fei

AU - Meng, Sheng

AU - Zhang, De Qi

PY - 2014/11/12

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N2 - Let X be a projective variety which is algebraic Lang hyperbolic.We show that Lang conjecture holds one direction only X and all its subvarieties are of general type and the canonical divisor KX is ample at smooth points and Kawamata log terminal points of X provided that KX is Q-Cartier no Calabivariety is algebraic Lang hyperbolic and a weak abundance conjecture holds.

AB - Let X be a projective variety which is algebraic Lang hyperbolic.We show that Lang conjecture holds one direction only X and all its subvarieties are of general type and the canonical divisor KX is ample at smooth points and Kawamata log terminal points of X provided that KX is Q-Cartier no Calabivariety is algebraic Lang hyperbolic and a weak abundance conjecture holds.

KW - Algebraic Lang hyperbolic variety

KW - Ample canonical divisor

UR - https://www.scopus.com/pages/publications/84911961198

U2 - 10.1007/s00209-014-1351-1

DO - 10.1007/s00209-014-1351-1

M3 - 文章

AN - SCOPUS:84911961198

SN - 0025-5874

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SP - 1179

EP - 1193

JO - Mathematische Zeitschrift

JF - Mathematische Zeitschrift

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Ampleness of canonical divisors of hyperbolic normal projective varieties

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