The explicit reciprocity law and the cohomology of Fontaine-Messing
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Publication:3986553
DOI10.24033/bsmf.2173zbMath0752.14015OpenAlexW1483834401MaRDI QIDQ3986553
Publication date: 27 June 1992
Published in: Bulletin de la Société mathématique de France (Search for Journal in Brave)
Full work available at URL: http://www.numdam.org/item?id=BSMF_1991__119_4_397_0
(p)-adic cohomology, crystalline cohomology (14F30) Regular local rings (13H05) Applications of methods of algebraic (K)-theory in algebraic geometry (14C35)
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Cites Work
- Les suites spectrales associées au complexe de De Rham-Witt
- Norm pairing in a two-dimensional local field
- Torsion dans le groupe de Chow de codimension deux
- \(p\)-adic étale cohomology
- Note on the Kummer-Hilbert reciprocity law
- Hilbert symbol in a discrete valuated field
- Higher explicit reciprocity laws
- Éléments de géométrie algébrique. IV: Étude locale des schémas et des morphismes de schémas. (Première partie). Rédigé avec la colloboration de J. Dieudonné
- Anneaux locaux henséliens
- Residues and duality. Lecture notes of a seminar on the work of A. Grothendieck, given at Havard 1963/64. Appendix: Cohomology with supports and the construction of the \(f^!\) functor by P. Deligne
- On explicit formulas for the norm residue symbol
- Opérations En K-Théorie Algébrique
- EXPLICIT CONSTRUCTION OF CLASS FIELD THEORY FOR A MULTIDIMENSIONAL LOCAL FIELD
- Complexe de de\thinspace Rham-Witt et cohomologie cristalline
- EXPLICIT FORM OF THE LAW OF RECIPROCITY
- The dilogarithm and the norm residue symbol
- Notes on Crystalline Cohomology. (MN-21)
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