\(K\)-theory of cuspidal curves over a perfectoid base and formal analogues

DOI10.1016/j.aim.2023.109289arXiv2203.17136OpenAlexW4386636062MaRDI QIDQ6058872

Noah Riggenbach

Publication date: 1 November 2023

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2203.17136

zbMATH Keywords

\(K\)-theorytopological cyclic homologysyntomic cohomologyprismatic cohomology

Mathematics Subject Classification ID

(Co)homology theory in algebraic geometry (14Fxx) Homotopy theory (55Pxx) Higher algebraic (K)-theory (19Dxx) Perfectoid spaces and mixed characteristic (14G45)

Cites Work

• Unnamed Item
• Unnamed Item
• The local structure of algebraic K-theory
• The localization of spectra with respect to homology
• Cyclic homology of hypersurfaces
• On topological cyclic homology
• Integral \(p\)-adic Hodge theory
• Filtrations, mixed complexes, and cyclic homology in mixed characteristic
• On the \(K\)-theory of finite algebras over Witt vectors of perfect fields
• THH and TC are (very) far from being homotopy functors
• Prisms and prismatic cohomology
• On the Beilinson fiber square
• On the algebraic K-theory of double points
• The \(p\)-completed cyclotomic trace in degree 2
• On the \(K\)-theory of truncated polynomial algebras, revisited
• On the \(K\)-theory of pullbacks
• The big de Rham-Witt complex
• Topological Hochschild homology and integral \(p\)-adic Hodge theory
• Algebraic Topology: Applications and New Directions
• Algebraic 𝐾-theory of planar cuspidal curves
• On -local
• 𝐾-theory and topological cyclic homology of henselian pairs