Milnor \(K\)-theory of \(p\)-adic rings

DOI10.1515/crelle-2022-0079OpenAlexW3119549878MaRDI QIDQ2689038

Matthew Morrow, Morten Lüders

Publication date: 6 March 2023

Published in: Journal für die Reine und Angewandte Mathematik (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2101.01092

Mathematics Subject Classification ID

Algebraic geometry (14-XX) Commutative algebra (13-XX)

Related Items (1)

Cartier smoothness in prismatic cohomology

Cites Work

• A restriction isomorphism for cycles of relative dimension zero
• \(K_2\) of localisations of local rings
• Milnor \(K\)-theory of complete discrete valuation rings with finite residue fields
• Motivic cohomology over Dedekind rings
• Application d'Abel-Jacobi p-adique et cycles algébriques. (p-adic Abel- Jacobi map and algebraic cycles)
• The Gersten conjecture for Milnor \(K\)-theory
• \(K_ 2\) of non-commutative local rings
• \(p\)-adic étale cohomology
• Abelian extensions of an absolutely unramified local field with general residue field
• Milnor \(K\)-theory is the simplest part of algebraic \(K\)-theory
• \(K_2\) of discrete valuation rings
• Relations between \(K_2\) and Galois cohomology
• Affine analog of the proper base change theorem
• Gersten's conjecture for some complexes of vanishing cycles
• Almost ring theory
• Algebraic \(K\)-theory and descent for blow-ups
• Pro unitality and pro excision in algebraic \(K\)-theory and cyclic homology
• The relative form of Gersten's conjecture over a discrete valuation ring: The smooth case
• The \(K\)-theory of fields in characteristic \(p\)
• On the Milnor \(K\)-groups of complete discrete valuation fields
• Algebraization for zero-cycles and the \(p\)-adic cycle class map
• Topological Hochschild homology and integral \(p\)-adic Hodge theory
• Milnor 𝐾-theory of local rings with finite residue fields
• Complexe de de\thinspace Rham-Witt et cohomologie cristalline
• Base Change Transitivity and Künneth Formulas for the Quillen Decomposition of Hochschild Homology.
• Higher algebraic K-theory: I
• Solutions d'équations à coefficients dans un anneau hensélien
• A presentation for some 𝐾₂(𝑛,𝑅)
• The $K_2$ of rings with many units
• K-theory of valuation rings
• 𝐾-theory and topological cyclic homology of henselian pairs
• K-theory and logarithmic Hodge-Witt sheaves of formal schemes in characteristic p
• DEFORMATION THEORY OF THE CHOW GROUP OF ZERO CYCLES
• Modules over algebraic cobordism
• p-adic étale Tate twists and arithmetic duality☆
• Introduction to Algebraic K-Theory. (AM-72)
• Syntomic complexes and p-adic étale Tate twists
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Milnor \(K\)-theory of \(p\)-adic rings