Indecomposable motivic cycles on K3 surfaces of degree 2

2024/01/02 by Ramesh Sreekantan, Sreekantan, Ramesh
Mathematics · #19E15(11G25 14C15 14G20) #Advanced Differential Equations and Dynamical Systems #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #FOS: Mathematics #Finite Group Theory Research

paper · pdf · doi:10.48550/arxiv.2401.01052

openalex publication_date 2024/01/02 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this paper we construct new indecomposable motivic cycles in the group H³_{\mathcal M}(X,\mathbb Q(2)) where X is a degree 2 K3 surface. This generalizes our construction in [Sre22] for Kummer surfaces of Abelian surfaces as well as the recent work of Ma and Sato [MS23] on degree 2 K3 surfaces.

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