Beilinson's conjecture on K3 surfaces with an involution

2025/02/13 by Kalyan Banerjee, Banerjee, Kalyan
Mathematics · #14C05 #14C25 #Advanced Differential Equations and Dynamical Systems #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #Analytic Number Theory Research #FOS: Mathematics

paper · pdf · doi:10.48550/arxiv.2502.09380

openalex publication_date 2025/02/13 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this note we prove that the Beilinson conjecture holds for certain examples of K3 surfaces over ℚ equipped with an involution, when the quotient of the surface by the involution is the projective plane branched along a sextic.

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