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Prismatization

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arxiv 2005.04746 v7 pith:Y46EMLRK submitted 2020-05-10 math.AG math.NTmath.RT

Vladimir Drinfeld This is my paper · ORCID
classification math.AGmath.NTmath.RT
keywords formalprismatizationcategoryp-adicthreearticlecoefficientscohomology
verification ladder T0 review T1 audit T2 compute T3 formal
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The goal is to construct three related "prismatization" functors from the category of p-adic formal schemes to that of formal stacks. This should provide a good category of coefficients for prismatic cohomology in the spirit of F-gauges. In this article we define and study the three versions of the prismatization of the formal spectrum of the ring of p-adic integers.

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Cited by 4 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. The Shimurian BT stack is a gerbe over truncated displays

    math.AG 2025-10 accept novelty 7.0 of 10

    The mod p Shimurian BT stack is a gerbe over the stack of truncated displays, confirming Drinfeld's gerbe conjecture.

  2. Perfect $F$-gauges and finite flat group schemes

    math.NT 2025-09 conditional novelty 7.0 of 10

    Over arbitrary p-adic formal bases, finite locally free p-power torsion commutative group schemes are exactly the perfect F-gauges of Tor amplitude [-1,0] and Hodge-Tate weights 0,1, via an exact, Cartier-duality-comp...

  3. Derived Methods in Supergeometry: Fundamental Classes and Cohomology

    math.AG 2026-06 unverdicted novelty 6.0 of 10

    This paper develops derived-category methods for super-stacks and claims that de Rham, Betti, and crystal invariants of a super-space reduce to its bosonic truncation, while only the Dolbeault stack retains odd-direct...

  4. An integral comparison of crystalline and de Rham cohomology

    math.NT 2025-07 conditional novelty 6.0 of 10

    The paper proves an integral, coefficient-version of the Berthelot-Ogus comparison between de Rham and crystalline cohomology using stacky prismatic cohomology and a Dwork-trick argument.

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