On Higgs bundles over Shimura varieties of ball quotient type

Ke Chen; Xin Lu; Sheng Li Tan; Kang Zuo

doi:10.4310/AJM.2018.v22.n2.a4

On Higgs bundles over Shimura varieties of ball quotient type

Ke Chen
, Xin Lu
, Sheng Li Tan
, Kang Zuo

数学科学学院

科研成果: 期刊稿件 › 文章 › 同行评审

3 引用（Scopus）

摘要

We prove the generic exclusion of certain Shimura varieties of unitary and orthogonal types from the Torelli locus. The proof relies on a slope inequality on surface fibration due to G. Xiao, and the main result implies that certain Shimura varieties only meet the Torelli locus in dimension zero.

源语言	英语
页（从-至）	269-283
页数	15
期刊	Asian Journal of Mathematics
卷	22
期	2
DOI	https://doi.org/10.4310/AJM.2018.v22.n2.a4
出版状态	已出版 - 2018

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10.4310/AJM.2018.v22.n2.a4

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@article{39d94d7922364fedbc8b793cd4743990,

title = "On Higgs bundles over Shimura varieties of ball quotient type",

abstract = "We prove the generic exclusion of certain Shimura varieties of unitary and orthogonal types from the Torelli locus. The proof relies on a slope inequality on surface fibration due to G. Xiao, and the main result implies that certain Shimura varieties only meet the Torelli locus in dimension zero.",

keywords = "Coleman-Oort conjecture, Shimura varieties, Slope inequality, Torelli locus",

author = "Ke Chen and Xin Lu and Tan, \{Sheng Li\} and Kang Zuo",

note = "Publisher Copyright: {\textcopyright} 2018 International Press.",

year = "2018",

doi = "10.4310/AJM.2018.v22.n2.a4",

language = "英语",

volume = "22",

pages = "269--283",

journal = "Asian Journal of Mathematics",

issn = "1093-6106",

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TY - JOUR

T1 - On Higgs bundles over Shimura varieties of ball quotient type

AU - Chen, Ke

AU - Lu, Xin

AU - Tan, Sheng Li

AU - Zuo, Kang

PY - 2018

Y1 - 2018

N2 - We prove the generic exclusion of certain Shimura varieties of unitary and orthogonal types from the Torelli locus. The proof relies on a slope inequality on surface fibration due to G. Xiao, and the main result implies that certain Shimura varieties only meet the Torelli locus in dimension zero.

AB - We prove the generic exclusion of certain Shimura varieties of unitary and orthogonal types from the Torelli locus. The proof relies on a slope inequality on surface fibration due to G. Xiao, and the main result implies that certain Shimura varieties only meet the Torelli locus in dimension zero.

KW - Coleman-Oort conjecture

KW - Shimura varieties

KW - Slope inequality

KW - Torelli locus

UR - https://www.scopus.com/pages/publications/85048627382

U2 - 10.4310/AJM.2018.v22.n2.a4

DO - 10.4310/AJM.2018.v22.n2.a4

M3 - 文章

AN - SCOPUS:85048627382

SN - 1093-6106

VL - 22

SP - 269

EP - 283

JO - Asian Journal of Mathematics

JF - Asian Journal of Mathematics

IS - 2

ER -

On Higgs bundles over Shimura varieties of ball quotient type

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