Flèches de spécialisations en cohomologie étale et applications arithmétiques

DOI10.24033/bsmf.2302zbMath0906.14014OpenAlexW190968539MaRDI QIDQ4372116

David Harari

Publication date: 18 February 1999

Published in: Bulletin de la Société mathématique de France (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=BSMF_1997__125_2_143_0

zbMATH Keywords

Picard groupweak approximationHasse principleBrauer groupBrauer-Manin obstruction

Mathematics Subject Classification ID

Étale and other Grothendieck topologies and (co)homologies (14F20) Varieties over global fields (11G35) Brauer groups of schemes (14F22) Global ground fields in algebraic geometry (14G25)

Related Items (15)

The Brauer group of torsors and its arithmetic applications. ⋮ Local-global principle for 0-cycles on fibrations over rationally connected bases ⋮ Progress concerning the local-global principle for zero-cycles on algebraic varieties ⋮ An elliptic \(K3\) surface associated to Heron triangles ⋮ 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 ⋮ Supersolvable descent for rational points ⋮ Quelques propriétés d’approximation reliées à la cohomologie galoisienne d’un groupe algébrique fini ⋮ Zéro-cycles sur les espaces homogènes et problème de Galois inverse ⋮ The Hardy–Littlewood conjecture and rational points ⋮ On the fibration method for zero-cycles and rational points ⋮ Failures of weak approximation in families ⋮ Rational points on fibrations with few non-split fibres ⋮ Strong Approximation and a Conjecture of Harpaz and Wittenberg ⋮ Universal torsors and values of quadratic polynomials represented by norms

Cites Work

• \(K_2\)-cohomology and the second Chow group
• La descente sur les variétés rationnelles. II. (The descent on rational varieties. II)
• Über gewisse Galoiscohomologiegruppen
• Weak approximation for surfaces defined by two quadratic forms
• The arithmetic of rational varieties
• Fibration method and Manin obstruction
• On quasi algebraic closure
• Arithmetic on Some Singular Cubic Hypersurfaces
• Arithmetic on Singular Del Pezzo Surfaces
• Descent on fibrations over the projective line
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