On Higgs bundles over Shimura varieties of ball quotient type

2016/10/25 by Ke Chen, Chen, Ke, Xin Lü +6 · 1 citation
Mathematics · #Advanced Algebra and Geometry #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #FOS: Mathematics #Geometry and complex manifolds #Number Theory (math.NT) #math.AG #math.NT

paper · pdf · doi:10.48550/arxiv.1610.07845

Dedicated to Professor Ngaiming Mok on the occasion of his sixtieth birthday

arxiv created 2016/10/25 · openalex publication_date 2016/10/25 · arxiv updated 2016/10/26 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/01

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.

Citations

• The Torelli locus and special subvarieties

Cited by

• On a question of Ekedahl and Serre

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