Higher \(l\)-adic Abel-Jacobi mappings and filtrations on Chow groups

DOI10.1215/S0012-7094-95-07803-XzbMath0915.14003arXivalg-geom/9412001OpenAlexW2022967429MaRDI QIDQ1896008

Wayne Raskind

Publication date: 17 September 1995

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

Full work available at URL: https://arxiv.org/abs/alg-geom/9412001

zbMATH Keywords

filtrationcycle map\(l\)-adic Abel-Jacobi map\(l\)-adic étale cohomologyfunction field in one variablegroup of codimension-\(n\) cycles modulo rational equivalence

Mathematics Subject Classification ID

Parametrization (Chow and Hilbert schemes) (14C05) Étale and other Grothendieck topologies and (co)homologies (14F20) Local ground fields in algebraic geometry (14G20) Algebraic cycles (14C25)

Related Items

Cycles over fields of transcendence degree 1, A finiteness theorem for zero-cycles over \(p\)-adic fields, The Brauer group and the second Abel-Jacobi map for 0-cycles on algebraic varieties., A filtration on the higher Chow group of zero cycles on an abelian variety, Potential density of rational points on the variety of lines of a cubic fourfold, Filtrations on Chow groups and transcendence degree, Weights in arithmetic geometry, On 𝑝-adic intermediate Jacobians, Arithmetic rigidity, La conjecture de Tate entière pour les cubiques de dimension quatre, Abel-Jacobi mappings and finiteness of motivic cohomology groups, On Chow and Brauer groups of a product of Mumford curves

Cites Work

• Sur l'anneau de Chow d'une variété abélienne
• Gersten's conjecture for the K-theory with torsion coefficients of a discrete valuation ring
• Continuous étale cohomology
• La conjecture de Weil. II
• Groupe de Chow de codimension deux des variétés définies sur un corps de nombres: Un théorème de finitude pour la torsion. (The codimension two Chow group of varieties defined over a number field: A finiteness theorem for the torsion)
• Mixed motives and algebraic K-theory. (Almost unchanged version of the author's habilitation at Univ. Regensburg 1988)
• On the cycle map for torsion algebraic cycles of codimension two
• Some elementary theorems about algebraic cycles on Abelian varieties
• Variétés unirationelles non rationelles: Au-delà de l'exemple d'Artin et Mumford. (Non rational unirational varieties: Beyond the Artin-Mumford example)
• On a conjectural filtration on the Chow groups of an algebraic variety. I: The general conjectures and some examples
• The torsion of the group of 0-cycles modulo rational equivalence
• Motives and filtrations on Chow groups
• Algebraic cycles and Hodge theoretic connectivity
• Théoreme de Lefschetz et critères de dégénérescence de suites spectrales
• Algebraic cycles and values of L-functions.
• Absolute cohomological purity
• Néron Models
• K₂of artinian Q-algebras, with application to algebraic cycles
• Bertini theorems for hypersurface sections containing a subscheme
• 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