Canonical class inequality for fibred spaces

Jun Lu; Sheng Li Tan; Kang Zuo

doi:10.1007/s00208-016-1474-2

Canonical class inequality for fibred spaces

Jun Lu
, Sheng Li Tan^*
, Kang Zuo

^*Corresponding author for this work

School of Mathematical Sciences

Johannes Gutenberg University Mainz

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

5 Scopus citations

Abstract

We establish the canonical class inequality for families of higher dimensional projective manifolds. As an application, we get a new inequality between the Chern numbers of threefolds X with smooth families of minimal surfaces of general type over a curve, -c13(X)<-18c3(X).

Original language	English
Pages (from-to)	1311-1332
Number of pages	22
Journal	Mathematische Annalen
Volume	368
Issue number	3-4
DOIs	https://doi.org/10.1007/s00208-016-1474-2
State	Published - 1 Aug 2017

Keywords

14D07
14G40
32G20

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10.1007/s00208-016-1474-2

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title = "Canonical class inequality for fibred spaces",

abstract = "We establish the canonical class inequality for families of higher dimensional projective manifolds. As an application, we get a new inequality between the Chern numbers of threefolds X with smooth families of minimal surfaces of general type over a curve, -c13(X)<-18c3(X).",

keywords = "14D07, 14G40, 32G20",

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

note = "Publisher Copyright: {\textcopyright} 2016, Springer-Verlag Berlin Heidelberg.",

year = "2017",

month = aug,

day = "1",

doi = "10.1007/s00208-016-1474-2",

language = "英语",

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pages = "1311--1332",

journal = "Mathematische Annalen",

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TY - JOUR

T1 - Canonical class inequality for fibred spaces

AU - Lu, Jun

AU - Tan, Sheng Li

AU - Zuo, Kang

PY - 2017/8/1

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N2 - We establish the canonical class inequality for families of higher dimensional projective manifolds. As an application, we get a new inequality between the Chern numbers of threefolds X with smooth families of minimal surfaces of general type over a curve, -c13(X)<-18c3(X).

AB - We establish the canonical class inequality for families of higher dimensional projective manifolds. As an application, we get a new inequality between the Chern numbers of threefolds X with smooth families of minimal surfaces of general type over a curve, -c13(X)<-18c3(X).

KW - 14D07

KW - 14G40

KW - 32G20

UR - https://www.scopus.com/pages/publications/84988699923

U2 - 10.1007/s00208-016-1474-2

DO - 10.1007/s00208-016-1474-2

M3 - 文章

AN - SCOPUS:84988699923

SN - 0025-5831

VL - 368

SP - 1311

EP - 1332

JO - Mathematische Annalen

JF - Mathematische Annalen

IS - 3-4

ER -

Canonical class inequality for fibred spaces

Abstract

Keywords

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