A finiteness theorem for the Chow group of zero-cycles of a linear algebraic group on a \(p\)-adic field

DOI10.1007/s00222-004-0393-0zbMath1080.14012arXivmath/0502133OpenAlexW1968928059MaRDI QIDQ1770271

Jean-Louis Colliot-Thélène

Publication date: 14 April 2005

Published in: Inventiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0502133

Mathematics Subject Classification ID

Local ground fields in algebraic geometry (14G20) Linear algebraic groups over local fields and their integers (20G25) (Equivariant) Chow groups and rings; motives (14C15)

Related Items (20)

Cubic Fourfolds, K3 Surfaces, and Rationality Questions ⋮ Local-global principle for 0-cycles on fibrations over rationally connected bases ⋮ Le complémentaire des puissances -ièmes dans un corps de nombres est un ensemble diophantien ⋮ Principe local-global pour les zéro-cycles sur certaines fibrations au-dessus de l'espace projectif ⋮ Towards the Brauer-Manin obstruction on varieties fibred over the projective line ⋮ Compatibility of weak approximation for zero-cycles on products of varieties ⋮ A finiteness theorem for zero-cycles over \(p\)-adic fields ⋮ On rational fixed points of finite group actions on the affine space ⋮ The local-global principle for zero cycles on certain fibrations over a curve. I. ⋮ The index of an algebraic variety ⋮ Zero cycles on fibrations over a curve of arbitrary genus ⋮ Integral models of Shimura varieties with parahoric level structure ⋮ Non rationalité stable sur les corps quelconques ⋮ Zéro-cycles sur les espaces homogènes et problème de Galois inverse ⋮ On Albanese torsors and the elementary obstruction ⋮ On the indices of curves over local fields ⋮ Stable rationality of quadric and cubic surface bundle fourfolds ⋮ Zero cycles on homogeneous varieties ⋮ Motivic classes and the integral Hodge question ⋮ Cycles, derived categories, and rationality

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