Indecomposable motivic cycles on K3 surfaces of degree 2

Abstract

In this paper we construct new indecomposable motivic cycles in the group $H_{\mathcal{M}}^3(X,\mathbb{Q}(2))$ 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.

19 pages. Revised version of earlier manuscript with some arguments cleaned up and typos corrected. This is to appear in the Proceedings of the Trimester on Geometry and Arithmetic of Calabi-Yau Threefolds held online by the Bhaskaracharya Pratishthana, Pune