Constructing Indecomposable Motivic Cohomology Classes on Algebraic Surfaces

1995/11/02 by Stefan Müller–Stach, Müller-Stach, Stefan · 1 citation
Mathematics · #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #Algebraic structures and combinatorial models #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology

paper · pdf · doi:10.48550/arxiv.alg-geom/9511002

openalex publication_date 1995/11/02 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

We describe a method to construct indecomposable classes in Bloch's higher Chow group CH²(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.

Cited by

• Construction of Higher Chow cycles on cyclic coverings of ℙ¹ × ℙ¹

Related

• On K₁ and K₂ of algebraic surfaces
• Motivic cohomology and algebraic K-theory of some surfaces over finite fields
• Indecomposable motivic cycles on K3 surfaces of degree 2
• Algebraic Cycles and values of Green's functions
• Indecomposable K₁ and the Hodge-D-conjecture for K3 and Abelian Surfaces