Brauer-Manin obstruction for zero-cycles on certain varieties

DOI10.5802/jtnb.1241zbMath1525.11070arXiv2111.06153OpenAlexW3215995513MaRDI QIDQ6159585

Evis Ieronymou

Publication date: 8 May 2023

Published in: Journal de Théorie des Nombres de Bordeaux (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2111.06153

zbMATH Keywords

Brauer-Manin obstructionzero-cycles

Mathematics Subject Classification ID

(K3) surfaces and Enriques surfaces (14J28) Varieties over global fields (11G35) Varieties over finite and local fields (11G25) Brauer groups of schemes (14F22)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Zero cycles on fibrations over a curve of arbitrary genus
• Hilbert's theorem 90 for \(K^ 2\), with application to the Chow groups of rational surfaces
• The arithmetic of certain del Pezzo surfaces and \(K3\) surfaces
• On the Chow groups of certain rational surfaces: a sequel to a paper of S. Bloch
• Weak approximation for surfaces defined by two quadratic forms
• The arithmetic of the Chow group of zero-cycles
• Zero-cycles on del Pezzo surfaces. Variations on a theme by Daniel Coray
• Evaluation of Brauer elements over local fields
• Unramified class field theory of arithmetical surfaces
• Resolution of singularities of an algebraic variety over a field of characteristic zero. I
• Some Quartic Curves with no Points in any Cubic Field
• The Brauer group of cubic surfaces
• Hasse principle and weak approximation for pencils of Severi-Brauer and similar varieties.
• On the arithmetic of del Pezzo surfaces of degree 2
• Algebraic families of nonzero elements of Shafarevich-Tate groups
• On large Picard groups and the Hasse Principle for curves and K3 surfaces
• The arithmetic of certain quartic curves