Arithmetic duality for two-dimensional local rings with perfect residue field

DOI10.1016/j.jpaa.2023.107465arXiv2112.06491MaRDI QIDQ6132835

No author found.

Publication date: 17 August 2023

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2112.06491

zbMATH Keywords

Grothendieck topologies\(p\)-adic nearby cyclesarithmetic dualitytwo-dimensional local rings

Mathematics Subject Classification ID

Geometric class field theory (11G45) Étale and other Grothendieck topologies and (co)homologies (14F20) (p)-adic cohomology, crystalline cohomology (14F30) Étale and flat extensions; Henselization; Artin approximation (13B40) Generalized class field theory ((K)-theoretic aspects) (19F05)

Related Items (1)

Finite generation of nilpotent quotients of fundamental groups of punctured spectra

Cites Work

• 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
• Motivic cohomology over Dedekind rings
• Proalgebraic groups
• Grothendieck's pairing on Néron component groups: Galois descent from the semistable case
• Arithmetic on two dimensional local rings
• \(p\)-adic étale cohomology
• Duality in the flat cohomology of curves
• Cohomologie étale. Seminaire de géométrie algébrique du Bois-Marie SGA 4 1/2 par P. Deligne, avec la collaboration de J. F. Boutot, A. Grothendieck, L. Illusie et J. L. Verdier
• Affine analog of the proper base change theorem
• Theory of tubular neighborhood in étale topology
• Kan extension and stable homology of Eilenberg-MacLane spaces
• Cycle classes for \(p\)-adic étale Tate twists and the image of \(p\)-adic regulators
• The \(\operatorname{arc}\)-topology
• Duality for local fields and sheaves on the category of fields
• Ideal-adic completion of quasi-excellent rings (after Gabber)
• Six model structures for DG-modules over DGAs: model category theory in homological action.
• Cohomology of algebraic theories
• The pro-\'etale topology for schemes
• A Hasse principle for two dimensional global fields.
• A note on universally catenary rings
• Néron Models
• On the theory and applications of differential torsion products
• DUALITY FOR COHOMOLOGY OF CURVES WITH COEFFICIENTS IN ABELIAN VARIETIES
• Duality theories for p-primary etale cohomology III
• p-adic étale Tate twists and arithmetic duality☆
• Categories and Sheaves
• Sur les corps locaux à corps résiduel algébriquement clos
• Finite generation of nilpotent quotients of fundamental groups of punctured spectra

This page was built for publication: Arithmetic duality for two-dimensional local rings with perfect residue field