Duality for local fields and sheaves on the category of fields
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Publication:2105772
DOI10.1215/21562261-2022-0027OpenAlexW4309467180MaRDI QIDQ2105772
Publication date: 8 December 2022
Published in: Kyoto Journal of Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1310.4941
(Co)homology of commutative rings and algebras (e.g., Hochschild, André-Quillen, cyclic, dihedral, etc.) (13D03) Geometric class field theory (11G45) Étale and other Grothendieck topologies and (co)homologies (14F20)
Related Items (2)
Arithmetic duality for two-dimensional local rings with perfect residue field ⋮ Duality over a local field of positive characteristic with algebraically closed residue field
Cites Work
- Grothendieck's pairing on Néron component groups: Galois descent from the semistable case
- A proper base change theorem for non-torsion sheaves in étale cohomology
- Duality in the flat cohomology of curves
- Extensions du groupe additif
- Motives and admissible representations of automorphism groups of fields
- Kan extension and stable homology of Eilenberg-MacLane spaces
- Duality over a local field of positive characteristic with algebraically closed residue field
- Projectivity of the Witt vector affine Grassmannian
- Éléments de géométrie algébrique. IV: Étude locale des schémas et des morphismes de schémas. (Troisième partie). Rédigé avec la colloboration de J. Dieudonné
- Éléments de géométrie algébrique. IV: Étude locale des schémas et des morphismes de schémas (Quatrième partie). Rédigé avec la colloboration de J. Dieudonné
- The homological dimension of commutative group schemes over a perfect field
- Commutative group schemes
- Cohomology of algebraic theories
- -ADIC HODGE THEORY FOR RIGID-ANALYTIC VARIETIES
- Smooth representations and sheaves
- A refinement of the local class field theory of Serre and Hazewinkel
- DERIVED FUNCTORS OF INVERSE LIMITS REVISITED
- Dualité sur un corps local à corps résiduel algébriquement clos
- Categories and Sheaves
- Sur les corps locaux à corps résiduel algébriquement clos
- On a nontrivial higher extension of representable abelian sheaves
- Krull Dimension in Power Series Rings
- Homology Theories for Multiplicative Systems
- On Algebraic Groups of Transformations
- Local flat duality of abelian varieties
- Extensions of Abelian sheaves and Eilenberg-MacLane algebras
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