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.
[Ito23b] Kazuhiro Ito
3 Pith papers cite this work. Polarity classification is still indexing.
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math.NT 3years
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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.
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.
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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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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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.