Zero cycles on fibrations over a curve of arbitrary genus
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Publication:447770
DOI10.1215/00127094-1699441zbMath1248.14030arXiv1010.1883OpenAlexW2011423431MaRDI QIDQ447770
Publication date: 29 August 2012
Published in: Duke Mathematical Journal (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1010.1883
Arithmetic ground fields (finite, local, global) and families or fibrations (14D10) Algebraic cycles (14C25) Global ground fields in algebraic geometry (14G25) (Equivariant) Chow groups and rings; motives (14C15)
Related Items (20)
Pathologies of the Brauer-Manin obstruction ⋮ 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 ⋮ 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 ⋮ On the equation N K /k (Ξ)=P (t ) ⋮ Divisibility results for zero-cycles ⋮ On the cohomology of reciprocity sheaves ⋮ Une liste de problèmes ⋮ Towards the Brauer-Manin obstruction on varieties fibred over the projective line ⋮ Compatibility of weak approximation for zero-cycles on products of varieties ⋮ Brauer-Manin obstruction for zero-cycles on certain varieties ⋮ Weak approximation for 0-cycles on a product of elliptic curves ⋮ A local to global principle for higher zero-cycles ⋮ Degree and the Brauer-Manin obstruction ⋮ Zéro-cycles sur les espaces homogènes et problème de Galois inverse ⋮ On the fibration method for zero-cycles and rational points ⋮ Le principe de Hasse pour les espaces homogènes : réduction au cas des stabilisateurs finis ⋮ Applications of the fibration method to the Brauer–Manin obstruction to the existence of zero-cycles on certain varieties
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