ON HIGGS BUNDLES OVER SHIMURA VARIETIES OF BALL QUOTIENT TYPE

被引：3

作者：

Chen, Ke ^{[1
]}

Lu, Xin ^{[2
]}

Tan, Sheng-Li ^{[3
]}

Zuo, Kang ^{[4
]}

机构：

[1] Nanjing Univ, Dept Math, Hankou Rd 22, Nanjing 210093, Jiangsu, Peoples R China

[2] East China Normal Univ, Sch Math, Shanghai Key Lab PMMP, Donchuan Rd 500, Shanghai 200241, Peoples R China

[3] East China Normal Univ, Dept Math, Shanghai Key Lab PMMP, Donchuan Rd 500, Shanghai 200241, Peoples R China

[4] Johannes Gutenberg Univ Mainz, Inst Math, D-55099 Mainz, Germany

来源：

ASIAN JOURNAL OF MATHEMATICS | 2018年 / 22卷 / 02期

基金：

中国国家自然科学基金;

关键词：

Coleman-Oort conjecture; Torelli locus; Shimura varieties; slope inequality; OORT CONJECTURE;

D O I：

10.4310/AJM.2018.v22.n2.a4

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

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.

引用

页码：269 / 283

页数：15

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