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

^*Corresponding author for this work

School of Mathematical Sciences

Research output: Contribution to journal › Article › peer-review

12 Scopus citations

Abstract

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.

Original language	English
Pages (from-to)	543-555
Number of pages	13
Journal	Mathematische Zeitschrift
Volume	276
Issue number	1-2
DOIs	https://doi.org/10.1007/s00209-013-1212-3
State	Published - Feb 2014

Keywords

Arakelov inequality
Hodge number
Non-compact Jacobian
Singular fiber

Access to Document

10.1007/s00209-013-1212-3

Cite this

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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",

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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