New aperture-based definition and construction of integral canonical models for pre-abelian and exceptional Shimura varieties at hyperspecial level, with uniform proofs of non-emptiness for all Newton strata, Ekedahl-Oort strata, and central leaves.
Integral models of Shimura varieties with parahoric level structure, II
3 Pith papers cite this work. Polarity classification is still indexing.
3
Pith papers citing it
abstract
We construct integral models of Shimura varieties of abelian type with parahoric level structure over odd primes. These models are \'etale locally isomorphic to corresponding local models.
fields
math.NT 3verdicts
UNVERDICTED 3representative citing papers
Establishes a representability criterion for v-sheaf modifications of formal schemes and applies it to parahoric level structures on local shtukas, yielding local representability of integral models of local Shimura varieties under hyperspecial levels.
Extends p-adic uniformization results to RSZ and unitary group variants of Shimura curves via maximal levels and explicit integral local Shimura varieties.
citing papers explorer
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On canonicity for integral models of Shimura varieties with hyperspecial level
New aperture-based definition and construction of integral canonical models for pre-abelian and exceptional Shimura varieties at hyperspecial level, with uniform proofs of non-emptiness for all Newton strata, Ekedahl-Oort strata, and central leaves.
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Relative representability and parahoric level structures
Establishes a representability criterion for v-sheaf modifications of formal schemes and applies it to parahoric level structures on local shtukas, yielding local representability of integral models of local Shimura varieties under hyperspecial levels.
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On optimal $p$-adic uniformization of unitary Shimura curves
Extends p-adic uniformization results to RSZ and unitary group variants of Shimura curves via maximal levels and explicit integral local Shimura varieties.