1996/10/06 by Basil Gordon, Jacob P. Murre, Gordon, B. Brent +1
Mathematics · #14C25 (Primary) 14G35 11F11 (Secondary) #Advanced Algebra and Geometry #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #Algebraic structures and combinatorial models #FOS: Mathematics
paper · pdf · doi:10.48550/arxiv.alg-geom/9610007
openalex publication_date 1996/10/06 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
The main result of this paper is the proof for elliptic modular threefolds of conjectures on the existence and structure of a filtration on the Chow groups of smooth projective varieties. In the form we prove them these conjectures were formulated by the second-named author, but as Jannsen has shown, these conjectures are equivalent to a conjecture of Beilinson. These conjectures have previously been proved for surfaces in general, but for elliptic modular surfaces we obtain more precise results which are then used in proving the conjectures for elliptic modular threefolds.