Arithmetic of 0-cycles on varieties defined over number fields

zbMath1264.14033arXiv1107.1634MaRDI QIDQ4916905

Yongqi Liang

Publication date: 26 April 2013

Full work available at URL: https://arxiv.org/abs/1107.1634

zbMATH Keywords

weak approximationHasse principlezero-cyclesrationally connected varieties

Mathematics Subject Classification ID

Rational points (14G05) Algebraic cycles (14C25) Rationally connected varieties (14M22)

Related Items (12)

Local-global principle for 0-cycles on fibrations over rationally connected bases ⋮ Progress concerning the local-global principle for zero-cycles on algebraic varieties ⋮ Principe local-global pour les zéro-cycles sur certaines fibrations au-dessus de l'espace projectif ⋮ Approximation faible pour les 0-cycles sur un produit de variétés rationnellement connexes ⋮ Une liste de problèmes ⋮ Compatibility of weak approximation for zero-cycles on products of varieties ⋮ Weak approximation for 0-cycles on a product of elliptic curves ⋮ Zéro-cycles sur les espaces homogènes et problème de Galois inverse ⋮ On the fibration method for zero-cycles and rational points ⋮ The tight approximation property ⋮ Local-global principles for zero-cycles on homogeneous spaces over arithmetic function fields ⋮ Applications of the fibration method to the Brauer–Manin obstruction to the existence of zero-cycles on certain varieties

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