A remark on the paper of Deninger and Murre

2024/07/08 by Ben Moonen, Moonen, Ben
Mathematics · #14C15 #14K05 #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #Algebraic structures and combinatorial models #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology

paper · pdf · doi:10.48550/arxiv.2407.05837

openalex publication_date 2024/07/08 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We show that the results proven by Deninger and Murre directly imply that the Chern classes of the de Rham bundle of an abelian scheme are torsion elements in the Chow ring, a result that was later proven by van der Geer. We also discuss several results about the orders of these classes.

Related

• On algebraic Chern classes of flat vector bundles
• Regulators of canonical extensions are torsion: the smooth divisor case
• Chern classes of Gauß-Manin bundles of weight 1 vanish
• The top Chern class of the Hodge bundle on the moduli space of abelian varieties
• Cycles on the Moduli Space of Abelian Varieties