Principe local-global pour les zéro-cycles sur les surfaces réglées

DOI10.1090/S0894-0347-99-00318-5zbMath0972.14001OpenAlexW1562307767MaRDI QIDQ4700180

Jean-Louis Colliot-Thélène

Publication date: 1 November 1999

Published in: Journal of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0894-0347-99-00318-5

zbMATH Keywords

ruled surfaceHasse principleBrauer grouplocal-global principleBrauer-Manin obstructionChow groupzero-cycle

Mathematics Subject Classification ID

Rational and ruled surfaces (14J26) Fields related with sums of squares (formally real fields, Pythagorean fields, etc.) (12D15) Varieties over global fields (11G35) Arithmetic ground fields for surfaces or higher-dimensional varieties (14J20) Algebraic cycles (14C25) Brauer groups of schemes (14F22) Global ground fields in algebraic geometry (14G25) (Equivariant) Chow groups and rings; motives (14C15)

Related Items (10)

Levels of function fields of surfaces over number fields ⋮ Local-global principle for 0-cycles on fibrations over rationally connected bases ⋮ Progress concerning the local-global principle for zero-cycles on algebraic varieties ⋮ Principe local-global pour les zéro-cycles sur certaines fibrations au-dessus de l'espace projectif ⋮ Towards the Brauer-Manin obstruction on varieties fibred over the projective line ⋮ Compatibility of weak approximation for zero-cycles on products of varieties ⋮ The Brauer group and the second Abel-Jacobi map for 0-cycles on algebraic varieties. ⋮ The local-global principle for zero cycles on certain fibrations over a curve. I. ⋮ Zero cycles on fibrations over a curve of arbitrary genus ⋮ On the fibration method for zero-cycles and rational points

Cites Work

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