Constructing Indecomposable Motivic Cohomology Classes on Algebraic Surfaces

Mathematics – Algebraic Geometry

Scientific paper

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Latex 2e, 34 pages

Scientific paper

We describe a method to construct indecomposable classes in Bloch's higher
Chow group $CH^2(X,1)$ on algebraic surfaces over the complex numbers via
transcendental methods and apply it to obtain examples on K3-surfaces and some
surfaces of general type.

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