Stefan Müller–Stach
Abstract
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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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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.
Key concepts: Indecomposable module, Transcendental number, Mathematics, Algebraic number, Pure mathematics, Cohomology, Construct (python library), Motivic cohomology