Rationally connected varieties over finite fields

DOI10.1215/S0012-7094-03-12022-0zbMath1077.14068arXivmath/0203220OpenAlexW2072532816MaRDI QIDQ1423873

Endre Szabó, János Kollár

Publication date: 7 March 2004

Published in: Duke Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0203220

zbMATH Keywords

Chow groupR-equivalence

Mathematics Subject Classification ID

Rational and unirational varieties (14M20) Finite ground fields in algebraic geometry (14G15) Local ground fields in algebraic geometry (14G20) Arithmetic ground fields for surfaces or higher-dimensional varieties (14J20) (Equivariant) Chow groups and rings; motives (14C15)

Related Items

Principe local-global pour les zéro-cycles sur certaines fibrations au-dessus de l'espace projectif ⋮ Divisibility results for zero-cycles ⋮ Towards the Brauer-Manin obstruction on varieties fibred over the projective line ⋮ RATIONAL CURVES ON CUBIC HYPERSURFACES OVER FINITE FIELDS ⋮ A finiteness theorem for zero-cycles over \(p\)-adic fields ⋮ Weak approximation for 0-cycles on a product of elliptic curves ⋮ Zero cycles on fibrations over a curve of arbitrary genus ⋮ Rational equivalence on cubic hypersurfaces of bad reduction ⋮ Zero cycles on homogeneous varieties ⋮ Specialization of zero cycles ⋮ A finiteness theorem for the Chow group of zero-cycles of a linear algebraic group on a \(p\)-adic field ⋮ Weak approximation over function fields of curves over large or finite fields ⋮ On the fibration method for zero-cycles and rational points ⋮ \(\mathbb{A}^1\)-curves on log smooth varieties