Approximation faible pour les 0-cycles sur un produit de variétés rationnellement connexes

DOI10.1017/S0305004117000330zbMath1407.14018OpenAlexW2963743014MaRDI QIDQ4575312

Yongqi Liang

Publication date: 13 July 2018

Published in: Mathematical Proceedings of the Cambridge Philosophical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0305004117000330

zbMATH Keywords

weak approximationHasse principleBrauer-Manin obstruction

Mathematics Subject Classification ID

Rational points (14G05) Varieties over global fields (11G35) Algebraic cycles (14C25) Brauer groups of schemes (14F22)

Related Items (2)

Compatibility of weak approximation for zero-cycles on products of varieties ⋮ Applications of the fibration method to the Brauer–Manin obstruction to the existence of zero-cycles on certain varieties

Cites Work

• Local-global principle for 0-cycles on fibrations over rationally connected bases
• The local-global principle for zero cycles on certain fibrations over a curve. I.
• Zero cycles on fibrations over a curve of arbitrary genus
• On the Chow groups of certain rational surfaces: a sequel to a paper of S. Bloch
• The arithmetic of the Chow group of zero-cycles
• The Brauer group and the Brauer-Manin set of products of varieties
• Hasse principle and weak approximation for pencils of Severi-Brauer and similar varieties.
• Rational points and zero-cycles on fibred varieties: Schinzel's hypothesis and Salberger's device
• The Brauer-Manin obstructions for homogeneous spaces with connected or abelian stabilizer.
• Arithmetic of 0-cycles on varieties defined over number fields
• On the fibration method for zero-cycles and rational points
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