2002/11/18 by Mark Green, Philip A. Griffiths, Green, Mark +4
Mathematics · #14C25 #14G27 #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #FOS: Mathematics #Mathematical Dynamics and Fractals #Meromorphic and Entire Functions #math.AG #msc:14C25 #msc:14G27
paper · pdf · doi:10.48550/arxiv.math/0211270
LaTeX2e; amsart format; 6 pages; PostFinal version: Corrected some typos
openalex publication_date 2002/11/18 · arxiv created 2003/07/11 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We extend earlier examples provided by Schoen, Nori and Bloch to show that when a surface has the property that the kernel of its Albanese map is non-zero over the field of complex numbers, this kernel is non-zero over a field of transcendence degree one. This says that the conjecture of Bloch and Beilinson that this kernel is zero for varieties over number fields is precise in the sense that it is not valid for fields of transcendence degree one.