On the Chow group of elliptic surfaces over number fields

2025/12/07 by Valloni, Domenico
Mathematics · #Algebraic Geometry and Number Theory #Geometry and complex manifolds #Analytic Number Theory Research

paper · doi:10.48550/arxiv.2512.06970

Abstract

Let X be a smooth projective surface over a number field K. Assume that X has an elliptic fibration over ℙ¹_K with at least one singular fibre and a section. Let X/U be a smooth projective model of X over some open subset U ⊂ Spec(O_K). We show that ker(CH²(X) → CH²(X)) is a finitely generated group.

Citations

• The Picard group of a K3 surface and its reduction modulo p

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