On a theorem of Enriques--Swinnerton-Dyer

DOI10.5802/afst.772zbMath0811.14020OpenAlexW2059438943MaRDI QIDQ1320023

Alexei N. Skorobogatov

Publication date: 8 May 1995

Published in: Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=AFST_1993_6_2_3_429_0

zbMATH Keywords

Grassmannian varietyexistence of rational pointprojective plane with four points in general position blown-up

Mathematics Subject Classification ID

Rational points (14G05) Grassmannians, Schubert varieties, flag manifolds (14M15) Surfaces and higher-dimensional varieties (14J99)

Related Items (12)

Torus quotients of Schubert varieties in the Grassmannian \(G_{2,n}\) ⋮ Universal torsors of del Pezzo surfaces and homogeneous spaces ⋮ Order \(5\) Brauer-Manin obstructions to the integral Hasse principle on log \(K3\) surfaces ⋮ Forms of del Pezzo surfaces of degree $5$ and $6$ ⋮ The rationality problem for forms of M¯0,n ⋮ Points of bounded height, adelic topology and Tamagawa measures. ⋮ Torus quotients of Richardson varieties in the Grassmannian ⋮ Toric topology of the Grassmannian of planes in $\mathbb{C}^5$ and the del Pezzo surface of degree $5$ ⋮ Number of points of bounded height on del Pezzo surfaces of degree 5 ⋮ Cox rings of cubic surfaces and Fano threefolds ⋮ On rationally connected varieties over \(C_1\) fields of characteristic 0 ⋮ Versality of algebraic group actions and rational points on twisted varieties

Cites Work

• La descente sur les variétés rationnelles. II. (The descent on rational varieties. II)
• Cohomologie galoisienne. Cours au Collège de France, 1962--1963. 3ième éd.
• Some remark on rational points
• Some Applications of the Local Uniformization Theorem
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