Integral Canonical Models of Shimura Varieties of Preabelian Type
Adrian vasiu
TL;DR
This paper establishes the existence of integral canonical models for Shimura varieties of preabelian type at primes of characteristic at least 5, advancing the understanding of their arithmetic and geometric properties.
Contribution
It provides the first proof of integral canonical models for a broad class of Shimura varieties of preabelian type at specified primes.
Findings
Existence of integral canonical models at primes ≥ 5.
Extension of known models to preabelian type varieties.
Foundational step for further arithmetic applications.
Abstract
We prove the existence of integral canonical models of Shimura varieties of preabelian type with respect to primes of characteristic at least 5.
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Taxonomy
TopicsAdvanced Algebra and Geometry · Algebraic Geometry and Number Theory · Algebraic structures and combinatorial models