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In this paper we construct new indecomposable motivic cycles in the group$H^3_{\mathcal M}(X,{\mathds Q}(2))$ where X is a degree 2 K3 surface. Thisgeneralizes our construction in [Sre22] for Kummer surfaces of Abelian surfacesas well as the recent work of Ma and Sato [MS23] on degree 2 K3 surfaces.

Indecomposable motivic cycles on K3 surfaces of degree 2