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

School of Mathematical Sciences

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

3 Scopus citations

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.

Original language	English
Pages (from-to)	269-283
Number of pages	15
Journal	Asian Journal of Mathematics
Volume	22
Issue number	2
DOIs	https://doi.org/10.4310/AJM.2018.v22.n2.a4
State	Published - 2018

Keywords

Coleman-Oort conjecture
Shimura varieties
Slope inequality
Torelli locus

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10.4310/AJM.2018.v22.n2.a4

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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

Abstract

Keywords

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