Compatibility of weak approximation for zero-cycles on products of varieties

2020/04/20 by Yongqi Liang, Liang, Yongqi · 2 citations
Engineering · Mathematics · #14G12 #Advanced Numerical Analysis Techniques #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #FOS: Mathematics #Number Theory (math.NT)

paper · pdf · doi:10.48550/arxiv.2004.09343

openalex publication_date 2020/04/20 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Zero-cycles are conjectured to satisfy weak approximation with Brauer-Manin obstruction for proper smooth varieties defined over number fields. Roughly speaking, we prove that the conjecture is compatible for products of rationally connected varieties, K3 surfaces, Kummer varieties, and one curve.

Cited by

• On the Local-to-Global Principle for Zero-Cycles on Self Products of Elliptic Curves with CM
• Abelianized Descent Obstruction for 0-Cycles

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