Hasse principle for the Chow groups on quadric fibrations

2013/02/05 by Kazuki Sato, Sato, Kazuki
Mathematics · #14C15 #Advanced Differential Equations and Dynamical Systems #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology #Number Theory (math.NT)

paper · doi:10.48550/arxiv.1302.1096

openalex publication_date 2013/02/05 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We give a sufficient condition for the injectivity of the global-to-local map of the relative Chow group of zero-cycles on a quadric fibration of dimension 2 or 3 defined over a number field.

Related

• Local-global principle for 0-cycles on fibrations over rationally connected bases
• A note on Mumford-Roitman argument on Chow schemes
• A Hasse principle for the higher Chow groups of curves over a global field
• On the Hasse principle for zero-cycles on Severi-Brauer fibrations
• Le principe de Hasse pour les intersections de deux quadriques dans ℙ⁷