Geometry of Shimura varieties of Hodge type over finite fields
Adrian Vasiu
TL;DR
This paper reviews recent advances in the theory of integral models of Shimura varieties of Hodge type over finite fields, focusing on their construction, properties, and stratifications.
Contribution
It provides a comprehensive overview of the construction, properties, and stratifications of integral models of Shimura varieties of Hodge type, synthesizing recent developments.
Findings
Construction methods for integral models
Conditions for smoothness and properness
Descriptions of stratifications of special fibres
Abstract
We present a general and comprehensive overview of recent developments in the theory of integral models of Shimura varieties of Hodge type. The paper covers the following topics: construction of integral models, their possible moduli interpretations, their uniqueness, their smoothness, their properness, and basic stratifications of their special fibres.
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Taxonomy
TopicsAdvanced Algebra and Geometry · Algebraic Geometry and Number Theory · Finite Group Theory Research