Application d'Abel-Jacobi p-adique et cycles algébriques. (p-adic Abel- Jacobi map and algebraic cycles)

DOI10.1215/S0012-7094-88-05726-2zbMath0697.14005OpenAlexW2076973789MaRDI QIDQ911662

Noriyuki Suwa, Michel Gros

Publication date: 1988

Published in: Duke Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1215/s0012-7094-88-05726-2

zbMATH Keywords

duality in flat cohomologyp-adic Abel-Jacobi map

Mathematics Subject Classification ID

(p)-adic cohomology, crystalline cohomology (14F30) Global ground fields in algebraic geometry (14G25) Applications of methods of algebraic (K)-theory in algebraic geometry (14C35) Cycles and subschemes (14C99)

Related Items

A note on Gersten's conjecture for logarithmic Hodge-Witt sheaves, Abelian extensions of an absolutely unramified local field with general residue field, Artin-Mazur heights and Yobuko heights of proper log smooth schemes of Cartier type, and Hodge-Witt decompositions and Chow groups of quasi-\(F\)-split threefolds, Bloch’s cycle complex and coherent dualizing complexes in positive characteristic, On the integral Tate conjecture for the product of a curve and a \(CH_0\)-trivial surface over a finite field, The Brauer group and indecomposable -cycles, Milnor \(K\)-theory of \(p\)-adic rings, Motivic cohomology and \(K\)-theory of some surfaces over finite fields, First and second K-groups of an elliptic curve over a global field of positive characteristic, On \(K_1\) of curves over global fields. Appendix by C. Weibel, Fermat motives and the Artin-Tate formula. I, The arithmetic of zero cycles on surfaces with geometric genus and irregularity zero, On the structure of étale motivic cohomology, Duality for relative logarithmic de Rham-Witt sheaves on semistable schemes over \(\mathbb F_qt\), Cycles de codimension 2 etH³non ramifié pour les variétés sur les corps finis, Cohomological Hasse principle and motivic cohomology for arithmetic schemes, Weights in arithmetic geometry, Hasse principles for higher-dimensional fields, Zero-Cycles on Varieties Over Finite Fields, La conjecture de Gersten pour les faisceaux de Hodge-Witt logarithmique. (The Gersten conjecture for the logarithmic Hodge-Witt sheaves), Zero-cycle groups on algebraic varieties, Abel-Jacobi mappings and finiteness of motivic cohomology groups, Unnamed Item

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
• Hilbert's theorem 90 for \(K^ 2\), with application to the Chow groups of rational surfaces
• La conjecture de Gersten pour les faisceaux de Hodge-Witt logarithmique. (The Gersten conjecture for the logarithmic Hodge-Witt sheaves)
• \(K_2\)-cohomology and the second Chow group
• Les suites spectrales associées au complexe de De Rham-Witt
• Groupes de Chow et K-théorie de variétés sur un corps fini
• Torsion dans le groupe de Chow de codimension deux
• On the multiplicative properties of the de Rham-Witt complex. I
• F-isocrystals and de Rham cohomology. II: Convergent isocrystals
• \(p\)-adic étale cohomology
• Rigidité des groupes de Chow. (Rigidity of the Chow groups)
• Specialization of crystalline cohomology
• Some consequences of the Riemann hypothesis for varieties over finite fields
• Remarks on Correspondences and Algebraic Cycles
• Sur la partie p-primaire du groupe de chow de codimension deux
• Values of zeta-functions at non-negative integers
• Values of Zeta Functions of Varieties Over Finite Fields
• A Finiteness Theorem in the Galois Cohomology of Algebraic Number Fields
• Complexe de de\thinspace Rham-Witt et cohomologie cristalline
• Higher algebraic K-theory: I
• Duality in the flat cohomology of a surface
• Sur l'image de l'application d'Abel-Jacobi de Bloch
• Classes de Chern et classes de cycles en cohomologie de Hodge-Witt logarithmique