Zero cycles on del Pezzo surfaces over local fields

DOI10.1016/0021-8693(85)90057-2zbMath0592.14034OpenAlexW2066147151MaRDI QIDQ1075400

Douglas J. Muder, Kevin R. Coombes

Publication date: 1985

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0021-8693(85)90057-2

zbMATH Keywords

del Pezzo surfacePicard groupPicquadratic extension of local fieldszero-cycles in the Chow ring

Mathematics Subject Classification ID

Parametrization (Chow and Hilbert schemes) (14C05) Local ground fields in algebraic geometry (14G20) Picard groups (14C22) Algebraic cycles (14C25) Special surfaces (14J25)

Related Items

Concerning a conjecture of Colliot-Thélène and Sansuc ⋮ The arithmetic of zero cycles on surfaces with geometric genus and irregularity zero ⋮ The Chow group of a Châtelet surface over a local field ⋮ Motifs, L-functions, and the K-cohomology of rational surfaces over finite fields

Cites Work

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• Hilbert's theorem 90 for \(K^ 2\), with application to the Chow groups of rational surfaces
• On the Chow groups of certain rational surfaces: a sequel to a paper of S. Bloch
• On the Chow groups of certain rational surfaces
• On rational surfaces I. Irreducible curves of arithmetic genus $0$ or $1$
• MINIMAL MODELS OF RATIONAL SURFACES OVER ARBITRARY FIELDS
• La $R$-équivalence sur les tores
• Cross Ratio Variety as a Moduli Space of Cubic Surfaces
• Rational surfaces over perfect fields. I

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