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.
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页码：269 / 283
页数：15
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