On the Chow groups of certain rational surfaces
From MaRDI portal
Publication:3037582
DOI10.24033/asens.1396zbMath0524.14006OpenAlexW57702914MaRDI QIDQ3037582
Publication date: 1981
Published in: Annales scientifiques de l'École normale supérieure (Search for Journal in Brave)
Full work available at URL: http://www.numdam.org/item?id=ASENS_1981_4_14_1_41_0
Rational and unirational varieties (14M20) Parametrization (Chow and Hilbert schemes) (14C05) (Equivariant) Chow groups and rings; motives (14C15) Applications of methods of algebraic (K)-theory in algebraic geometry (14C35)
Related Items
Galois descent and \(K_ 2\) of number fields ⋮ Concerning a conjecture of Colliot-Thélène and Sansuc ⋮ Rost nilpotence and étale motivic cohomology ⋮ La descente sur les variétés rationnelles. II. (The descent on rational varieties. II) ⋮ The arithmetic of the Chow group of zero-cycles ⋮ Hilbert's theorem 90 for \(K^ 2\), with application to the Chow groups of rational surfaces ⋮ Del Pezzo surfaces of degree four ⋮ The Brauer group and the second Abel-Jacobi map for 0-cycles on algebraic varieties. ⋮ Groupe de Chow de codimension deux des variétés définies sur un corps de nombres: Un théorème de finitude pour la torsion. (The codimension two Chow group of varieties defined over a number field: A finiteness theorem for the torsion) ⋮ Weak approximation for surfaces defined by two quadratic forms ⋮ On the cycle map for torsion algebraic cycles of codimension two ⋮ The arithmetic of zero cycles on surfaces with geometric genus and irregularity zero ⋮ Rational equivalence on cubic hypersurfaces of bad reduction ⋮ Cycles de codimension 2 etH3non ramifié pour les variétés sur les corps finis ⋮ Algebraic K-theory ⋮ The Rost nilpotence theorem for geometrically rational surfaces ⋮ The Chow group of zero-cycles on certain Châtelet surfaces over local fields ⋮ Permutation modules and Chow motives of geometrically rational surfaces ⋮ Sur la cohomologie non ramifiée en degré trois d'un produit ⋮ The arithmetic of rational varieties ⋮ Zero-cycles on rational surfaces over number fields ⋮ The Brauer–Manin pairing, class field theory, and motivic homology ⋮ Quelques gammes sur les formes quadratiques ⋮ \(K_2\)-cohomology and the second Chow group ⋮ Chow groups of zero cycles on pencils of quadrics ⋮ Zero cycles on del Pezzo surfaces over local fields
Cites Work
- Points rationnels sur certaines courbes et surfaces cubiques
- Algebraic \(K\)-theory and quadratic forms. With an appendix by J. Tate
- K-cohomology of regular schemes
- Higher algebraic K-theory: I
- La $R$-équivalence sur les tores
- Introduction to Algebraic K-Theory. (AM-72)
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
