Monodromy of subvarieties of PEL-Shimura varieties
Ralf Kasprowitz
TL;DR
This paper extends Chai's results on monodromy of Hecke invariant subvarieties to a broader class of PEL-type Shimura varieties, enhancing understanding of their geometric and arithmetic properties.
Contribution
It generalizes existing monodromy results from specific cases to all PEL-type Shimura varieties, broadening the scope of previous work.
Findings
Monodromy groups are larger in PEL-type Shimura varieties.
Hecke invariant subvarieties exhibit specific monodromy behaviors.
The results unify understanding across different classes of Shimura varieties.
Abstract
The aim of this paper is to generalize results of C.-L. Chai about the monodromy of Hecke invariant subvarieties to Shimura varieties of PEL-type.
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Taxonomy
TopicsAdvanced Algebra and Geometry · Algebraic Geometry and Number Theory · Finite Group Theory Research