Abel-Jacobi mappings and finiteness of motivic cohomology groups

DOI10.1215/S0012-7094-00-10414-0zbMath1089.11035OpenAlexW2086863967MaRDI QIDQ1577511

Kanetomo Sato

Publication date: 11 May 2003

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

Full work available at URL: https://projecteuclid.org/euclid.dmj/1092403652

Mathematics Subject Classification ID

Curves over finite and local fields (11G20) Varieties over finite and local fields (11G25) Étale cohomology, higher regulators, zeta and (L)-functions ((K)-theoretic aspects) (19F27) Motivic cohomology; motivic homotopy theory (14F42)

Related Items (1)

Logarithmic Hodge-Witt sheaves on normal crossing varieties

Cites Work

• Application d'Abel-Jacobi p-adique et cycles algébriques. (p-adic Abel- Jacobi map and algebraic cycles)
• On \(K_1\) of curves over global fields. Appendix by C. Weibel
• Groupes de Chow et K-théorie de variétés sur un corps fini
• Torsion dans le groupe de Chow de codimension deux
• Higher regulators and values of \(L\)-functions
• Class field theory for curves over local fields
• Algebraic cycles and higher K-theory
• \(p\)-adic étale cohomology
• A note on p-adic étale cohomology in the semi-stable reduction case
• Continuous étale cohomology
• La conjecture de Weil. II
• Über die lokale Zetafunktion von Shimuravarietaeten. Monodromiefiltration und verschwindende Zyklen in ungleicher Charakteristik
• Relative Chow groups
• Mixed motives and algebraic K-theory. (Almost unchanged version of the author's habilitation at Univ. Regensburg 1988)
• Relations between \(K_2\) and Galois cohomology
• \(p\)-adic étale cohomology and crystalline cohomology in the semi-stable reduction case
• Spectral sequence of weights in Hyodo-Kato cohomology
• Syntomic cohomology and \(p\)-adic étale cohomology
• Smoothness, semi-stability and alterations
• The construction of weight-two arithmetic cohomology
• Algebraic K-theory and classfield theory for arithmetic surfaces
• La conjecture de Weil. I
• Higher \(l\)-adic Abel-Jacobi mappings and filtrations on Chow groups
• Some consequences of the Riemann hypothesis for varieties over finite fields
• Théoreme de Lefschetz et critères de dégénérescence de suites spectrales
• Torsion zero-cycles on the self-product of a modular elliptic curve
• $ K$-COHOMOLOGY OF SEVERI-BRAUER VARIETIES AND THE NORM RESIDUE HOMOMORPHISM
• A Hasse principle for two dimensional global fields.
• Values of zeta-functions at non-negative integers
• Complexe de de\thinspace Rham-Witt et cohomologie cristalline
• Higher algebraic K-theory: I
• Gersten's conjecture and the homology of schemes
• Injectivity of the torsion cycle map of codimension two of varieties over p-adic fields with semi-stable reduction
• The Bloch-Kato conjecture and a theorem of Suslin-Voevodsky
• Classes de Chern et classes de cycles en cohomologie de Hodge-Witt logarithmique
• 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
• Unnamed Item
• Unnamed Item

This page was built for publication: Abel-Jacobi mappings and finiteness of motivic cohomology groups