SURFACES DE DEL PEZZO SANS POINT RATIONNEL SUR UN CORPS DE DIMENSION COHOMOLOGIQUE UN

DOI10.1017/S1474748004000015zbMath1056.14030arXivmath/0303168OpenAlexW3020922047MaRDI QIDQ4461199

Jean-Louis Colliot-Thélène, David A. Madore

Publication date: 30 March 2004

Published in: Journal of the Institute of Mathematics of Jussieu (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0303168

zbMATH Keywords

Rost's degree formula

Mathematics Subject Classification ID

Rational and ruled surfaces (14J26) Forms of degree higher than two (11E76) Cohomological dimension of fields (12G10) Rational points (14G05) Varieties over global fields (11G35)

Related Items (13)

Homogeneous spaces, algebraic \(K\)-theory and cohomological dimension of fields ⋮ On a conjecture of Kato and Kuzumaki ⋮ Degree formula for connective \(K\)-theory ⋮ Square-reflexive polynomials ⋮ Fields of dimension one algebraic over a global or local field need not be of type \(C_1\) ⋮ Faddeev invariants for central simple algebras over rational function fields ⋮ On Kato and Kuzumaki's properties for the Milnor \(K_2\) of function fields of \(p\)-adic curves ⋮ Unramified cohomology and the entire Hodge conjecture ⋮ Special fibre of low degree hypersurfaces ⋮ On the integral Hodge conjecture for real varieties. I ⋮ A bound for canonical dimension of the (semi)spinor groups ⋮ Biquaternion division algebras over rational function fields ⋮ The period-index problem for real surfaces

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