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.
Elliptic fibrations of K3 surfaces and QM K ummer surfaces
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Algebraic cycles and values of Green's functions -- Products of Elliptic Curves
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.