The \(\text{K}\)-theory of perfectoid rings

DOI10.25537/dm.2022v27.1923-1951OpenAlexW4320026737MaRDI QIDQ2099422

Akhil Mathew, Matthew Morrow, Ben Antieau

Publication date: 23 November 2022

Published in: Documenta Mathematica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2203.06472

zbMATH Keywords

algebraic \(K\)-theoryperfectoid rings

Mathematics Subject Classification ID

Computations of higher (K)-theory of rings (19D50) Perfectoid spaces and mixed characteristic (14G45)

Cites Work

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• Algebraization and Tannaka duality
• \(\mathbf{A}^1\)-homotopy theory of noncommutative motives
• \(\lambda\)-structure en K-théorie algébrique
• lambda-rings and algebraic K-theory
• Commutative coherent rings
• Integral \(p\)-adic Hodge theory
• $K$-theoretic obstructions to bounded $t$-structures
• Perfectoid spaces
• A universal characterization of higher algebraic \(K\)-theory
• The \(K\)-theory of fields in characteristic \(p\)
• Purity for the Brauer group
• The \(\operatorname{arc}\)-topology
• \(K\)-theory of Prüfer domains
• Descent in algebraic \(K\)-theory and a conjecture of Ausoni-Rognes
• Remarks on \(K(1)\)-local \(K\)-theory
• Valuation rings are derived splinters
• Homotopy theory of simplicial sheaves in completely decomposable topologies
• On the \(K\)-theory of pullbacks
• Tame distillation and desingularization by \(p\)-alterations
• Inseparable local uniformization
• Affine representability results in \(\mathbb{A}^1\)-homotopy theory. I: Vector bundles.
• Projectivity of the Witt vector affine Grassmannian
• Cdh descent, cdarc descent, and Milnor excision
• On the \(K\)-theory of regular coconnective rings
• On exact -categories and the Theorem of the Heart
• Higher algebraic K-theory: I
• Crystalline conjecture via K-theory
• Excision in algebraic -theory revisited
• The spectral sequence relating algebraic K-theory to motivic cohomology
• K-theory of valuation rings
• The homotopy coniveau tower
• Higher Topos Theory (AM-170)

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