A new inequality on the Hodge number h1,1 of algebraic surfaces

Jun Lu; Sheng Li Tan; Fei Yu; Kang Zuo

doi:10.1007/s00209-013-1212-3

A new inequality on the Hodge number h^1,1 of algebraic surfaces

Jun Lu
, Sheng Li Tan^*
, Fei Yu
, Kang Zuo

^*此作品的通讯作者

数学科学学院

Xiamen University
Johannes Gutenberg University Mainz

科研成果: 期刊稿件 › 文章 › 同行评审

12 引用（Scopus）

摘要

We get a new inequality on the Hodge number h^1,1(S) of fibred algebraic complex surfaces S, which is a generalization of an inequality of Beauville. Our inequality implies the Arakelov type inequalities due to Arakelov, Faltings, Viehweg and Zuo, respectively.

源语言	英语
页（从-至）	543-555
页数	13
期刊	Mathematische Zeitschrift
卷	276
期	1-2
DOI	https://doi.org/10.1007/s00209-013-1212-3
出版状态	已出版 - 2月 2014

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10.1007/s00209-013-1212-3

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引用此

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title = "A new inequality on the Hodge number h1,1 of algebraic surfaces",

abstract = "We get a new inequality on the Hodge number h1,1(S) of fibred algebraic complex surfaces S, which is a generalization of an inequality of Beauville. Our inequality implies the Arakelov type inequalities due to Arakelov, Faltings, Viehweg and Zuo, respectively.",

keywords = "Arakelov inequality, Hodge number, Non-compact Jacobian, Singular fiber",

author = "Jun Lu and Tan, \{Sheng Li\} and Fei Yu and Kang Zuo",

year = "2014",

month = feb,

doi = "10.1007/s00209-013-1212-3",

language = "英语",

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journal = "Mathematische Zeitschrift",

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TY - JOUR

T1 - A new inequality on the Hodge number h1,1 of algebraic surfaces

AU - Lu, Jun

AU - Tan, Sheng Li

AU - Yu, Fei

AU - Zuo, Kang

PY - 2014/2

Y1 - 2014/2

N2 - We get a new inequality on the Hodge number h1,1(S) of fibred algebraic complex surfaces S, which is a generalization of an inequality of Beauville. Our inequality implies the Arakelov type inequalities due to Arakelov, Faltings, Viehweg and Zuo, respectively.

AB - We get a new inequality on the Hodge number h1,1(S) of fibred algebraic complex surfaces S, which is a generalization of an inequality of Beauville. Our inequality implies the Arakelov type inequalities due to Arakelov, Faltings, Viehweg and Zuo, respectively.

KW - Arakelov inequality

KW - Hodge number

KW - Non-compact Jacobian

KW - Singular fiber

UR - https://www.scopus.com/pages/publications/84892555394

U2 - 10.1007/s00209-013-1212-3

DO - 10.1007/s00209-013-1212-3

M3 - 文章

AN - SCOPUS:84892555394

SN - 0025-5874

VL - 276

SP - 543

EP - 555

JO - Mathematische Zeitschrift

JF - Mathematische Zeitschrift

IS - 1-2

ER -

A new inequality on the Hodge number h1,1 of algebraic surfaces

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A new inequality on the Hodge number h^1,1 of algebraic surfaces