\(K\)-theory of non-Archimedean rings. I

DOI10.25537/dm.2019v24.1365-1411zbMath1442.19006arXiv1802.09819OpenAlexW2788974244MaRDI QIDQ2318714

Moritz Kerz, Georg Tamme, Shuji Saito

Publication date: 16 August 2019

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

Full work available at URL: https://arxiv.org/abs/1802.09819

zbMATH Keywords

affinoid algebrascontinuous \(K\)-theory

Mathematics Subject Classification ID

Rigid analytic geometry (14G22) Karoubi-Villamayor-Gersten (K)-theory (19D25)

Related Items (3)

K-THEORY OF NON-ARCHIMEDEAN RINGS II ⋮ Continuous \(K\)-theory and cohomology of rigid spaces ⋮ Derived log Albanese sheaves

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• The local structure of algebraic K-theory
• Desingularization of quasi-excellent schemes in characteristic zero
• Continuous valuations
• Algebraic \(K\)-theory and descent for blow-ups
• Pro unitality and pro excision in algebraic \(K\)-theory and cyclic homology
• On the \(K\)-theory of finite algebras over Witt vectors of perfect fields
• On the \(K\)-theory of pullbacks
• Lectures on formal and rigid geometry
• On the \(K\)-theory of complete regular local \(\mathbb F_{p}\)-algebras
• Etale homotopy
• Éléments de géométrie algébrique. I: Le langage des schémas. II: Étude globale élémentaire de quelques classe de morphismes. III: Étude cohomologique des faisceaux cohérents (première partie)
• A model structure on the category of pro-simplicial sets
• Relative continuous K-theory and cyclic homology
• Deformation of algebraic cycle classes in characteristic zero
• The Dror-Whitehead Theorem in Pro-Homotopy and Shape Theories
• Calculating limits and colimits in pro-categories
• TOWARDS A NON-ARCHIMEDEAN ANALYTIC ANALOG OF THE BASS–QUILLEN CONJECTURE
• Motifs des variétés analytiques rigides
• Higher Topos Theory (AM-170)
• Fibrés vectoriels sur un polydisque ultramétrique
• La périodicité de Bott en $K$-théorie générale
• $K$-théorie algébrique et $K$-théorie topologique I.
• Introduction to Algebraic K-Theory. (AM-72)
• Surjective Stability in Dimension 0 for K 2 and Related Functors
• On the $K$-theory and topological cyclic homology of smooth schemes over a discrete valuation ring

This page was built for publication: \(K\)-theory of non-Archimedean rings. I