Variétés presque rationnelles, leurs points rationnels et leurs dégénérescences

DOI10.1007/978-3-642-15945-9_1zbMath1231.14015OpenAlexW148346341MaRDI QIDQ3169285

Jean-Louis Colliot-Thélène

Publication date: 28 April 2011

Published in: Lecture Notes in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-642-15945-9_1

zbMATH Keywords

rational pointsrationally connected varieties

Mathematics Subject Classification ID

Rational points (14G05) Research exposition (monographs, survey articles) pertaining to algebraic geometry (14-02) Fibrations, degenerations in algebraic geometry (14D06) Arithmetic ground fields for surfaces or higher-dimensional varieties (14J20) Rationally connected varieties (14M22)

Related Items (12)

𝑅-equivalence on low degree complete intersections ⋮ Index of varieties over Henselian fields and Euler characteristic of coherent sheaves ⋮ The local dimension of a finite group over a number field ⋮ Une liste de problèmes ⋮ Some aspects of rational points and rational curves ⋮ Principes locaux-globaux pour certaines fibrations en torseurs sous un tore ⋮ \(R\)-equivalence on families of rational varieties and the descent method ⋮ Proof of a conjecture of Colliot-Thélène and a Diophantine excision theorem ⋮ Rational points on fibrations with few non-split fibres ⋮ On rationally connected varieties over \(C_1\) fields of characteristic 0 ⋮ Failure of the Brauer-Manin principle for a simply connected fourfold over a global function field, via orbifold Mordell ⋮ Unramified algebraic Brauer group of homogeneous spaces

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