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The prismatization of p-adic formal schemes

WebbIn particular, the definition and basic properties of the key object of this study in this paper — the prismatization WCart X of a bounded p-adic formal scheme X — rely critically on … Webb10 maj 2024 · 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 …

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Webb16 jan. 2024 · The goal of this paper is to study the absolute prismatic cohomology of $p$-adic formal schemes. We do so by recasting the notion of a prismatic crystal on … WebbThe main theorem of this article is that we can recover p-adic prismatization and p-adic prismatic cohomology from the integral prismatization and integral prismatic … diary\\u0027s ey https://ishinemarine.com

The prismatization of $p$-adic formal schemes - ResearchGate

Webb16 jan. 2024 · The prismatization of. -adic formal schemes. Bhargav Bhatt, Jacob Lurie. (Submitted on 16 Jan 2024) In this note, we introduce and study the Cartier--Witt stack attached to a -adic formal scheme as well as some variants. In particular, we reinterpret the notion of prismatic crystals on and their cohomology in terms of quasicoherent sheaf … Webb16 jan. 2024 · The prismatization of $p$-adic formal schemes Authors: Bhargav Bhatt Jacob Lurie Abstract No file available Total $p$-differentials on schemes over $Z/p^2 … Webbof a p-adic formal scheme Xsatisfying certain technical conditions). The key observation 3. ... p; its prismatization, called Σ or WCart, can be defined quite explicitly and is studied in depth in [1] and [4]. Roughly speaking, we can think of Σ as the stack sending a p-nilpotent ring Rto the set of prism diary\u0027s f0

X p X arXiv:2201.06124v1 [math.AG] 16 Jan 2024

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The prismatization of p-adic formal schemes

Prismatic / THH reading list Yuri Sulyma

Webb10 maj 2024 · In this article we define and study the three versions of the prismatization of the formal spectrum of the ring of p-adic integers.read more PDFAbstract Code Edit AddRemoveMark official No code implementations yet. your code now WebbIn this section, we assumeK=K0, consider ap-adic smooth formal scheme Xover Spf(OK) endowed with the log structureMdefined by a divisorDwith relative normal crossings and explain the local description of filtered convergent F-isocrystals on (X;M) in terms of modules with connections.

The prismatization of p-adic formal schemes

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WebbPAPERS (ALL AVAILABLE ON THE ARXIV UNLESS OTHERWISE SPECIFIED) 53. Syntomic complexes and p-adic ´etale Tate twists (with A. Mathew) 52. The prismatization of p-adic formal schemes (with J. Lurie) 51. Absolute prismatic cohomology (with J. Lurie) 50. Algebraic geometry in mixed characteristic For the Proceedings of the ICM 2024. 49. WebbSemantic Scholar's Logo

Webb10 feb. 2024 · The F-smoothness of regular schemes leads to new results on the absolute prismatic cohomology of regular schemes. Abstract The primary goal of this paper is to … Webb29 jan. 2024 · PDF The aim of this article is to given an extension of the prismatization functor for $p$-adic formal schemes (whose construction was first sketched... Find, read and cite all the...

Webba formal scheme, or for making geometric constructions involving formal schemes. As simple examples: the notion of a locally Noetherian formal scheme rests on having such ring-based models for the local structure of formal schemes, as does the notion of a p-adic formal scheme being at over Z p, and the construction of the at part of a p-adic ... Webb28 mars 2024 · We show that the classification of p-divisible groups by Breuil windows and the classification of finite flat group schemes of p-power order by Breuil modules hold …

WebbThe prismatization of $p$-adic formal schemes. In this note, we introduce and study the Cartier--Witt stack $\mathrm {WCart}_X$ attached to a $p$-adic formal scheme $X$ as …

WebbBhatt-Lurie, The prismatization of $p$-adic formal schemes Self-promotion A slice refinement of Bökstedt periodicity §3.1 and §3.3 are elementary + have nice exposition; … citi field location mapWebb30 mars 2024 · The prismatization of $p$-adic formal schemes B. Bhatt, J. Lurie Mathematics 2024 In this note, we introduce and study the Cartier–Witt stack WCartX attached to a padic formal scheme X as well as some variants. In particular, we reinterpret the notion of prismatic crystals on X… Expand 15 PDF Absolute prismatic cohomology B. … diary\u0027s f2Webb24 aug. 2024 · Then, a p -adic formal scheme means a formal scheme X together with (a necessarily unique) adic morphism X → S p f ( Z p). For any scheme X → S p e c ( Z p) … citi field lobster shackWebbIn this article we define and study the three versions of the prismatization of the formal spectrum of the ring of p-adic integers. The goal is to construct three related … diary\\u0027s f4WebbPRISMATIZATION VLADIMIR DRINFELD Abstract. The goal is to construct three related “prismatization” functors from the cate-gory of p-adic formal schemes to that of formal … citi field lost and foundWebb28 mars 2024 · We show that the classification of p-divisible groups by Breuil windows and the classification of finite flat group schemes of p-power order by Breuil modules hold over any complete regular local ... diary\\u0027s f2Webb16 jan. 2024 · The prismatization of $p$-adic formal schemes B. Bhatt, J. Lurie Published 16 January 2024 Mathematics In this note, we introduce and study the Cartier–Witt … diary\u0027s f1