A uniform construction of stacks BT^{G,μ}_n using stacky prismatic technology verifies Drinfeld's algebraicity conjecture and yields a linear-algebraic classification of truncated p-divisible groups over general p-adic bases.
REFERENCES 35 [BP18] Oliver B¨ ultel and Georgios Pappas
3 Pith papers cite this work. Polarity classification is still indexing.
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Proves a deformation theorem for prismatic higher (G,μ)-displays over quasi-syntomic rings, extends p-divisible group classification, and relates the display stack to integral local Shimura varieties.
The EKOR-stratification on the Siegel modular variety with parahoric level structure modulo p is realized as the fibers of a smooth morphism to a stack parametrizing homogeneously polarized chains of truncated displays.
citing papers explorer
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An algebraicity conjecture of Drinfeld and the moduli of $p$-divisible groups
A uniform construction of stacks BT^{G,μ}_n using stacky prismatic technology verifies Drinfeld's algebraicity conjecture and yields a linear-algebraic classification of truncated p-divisible groups over general p-adic bases.
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Deformations of Prismatic Higher $(G,\mu)$-Displays over Quasi-Syntomic Rings
Proves a deformation theorem for prismatic higher (G,μ)-displays over quasi-syntomic rings, extends p-divisible group classification, and relates the display stack to integral local Shimura varieties.
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The EKOR-stratification on the Siegel modular variety with parahoric level structure
The EKOR-stratification on the Siegel modular variety with parahoric level structure modulo p is realized as the fibers of a smooth morphism to a stack parametrizing homogeneously polarized chains of truncated displays.