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Indecomposable motivic cycles on K3 surfaces of degree 2

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arxiv 2401.01052 v2 pith:O37D7NBG submitted 2024-01-02 math.AG

Ramesh Sreekantan This is my paper · ORCID
classification math.AG
keywords surfacesdegreecyclesindecomposablemotivicabelianconstructconstruction
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abstract

In this paper we construct new indecomposable motivic cycles in the group $H^3_{\mathcal M}(X,{\mathbb Q}(2))$ 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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  1. Algebraic cycles and values of Green's functions -- Products of Elliptic Curves

    math.AG 2025-02 reject novelty 6.0 of 10

    The paper constructs infinite families of indecomposable motivic cycles on products of elliptic curves and conditionally links their regulators to algebraicity of higher Green's function values.

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