A commutative regulator map into Deligne-Beilinson cohomology

2014/10/17 by Thomas Weißschuh, Weißschuh, Thomas
Mathematics · #Algebraic Geometry (math.AG) #Complex Variables (math.CV) #FOS: Mathematics #math.AG #math.CV

paper · pdf · doi:10.48550/arxiv.1410.4686

arxiv created 2014/10/17 · arxiv updated 2014/10/20

Abstract

In 1986, Spencer Bloch gave an abstract definition of a (regulator) map from higher Chow groups to Deligne-Beilinson cohomology. This map can be defined on the underlying complexes, and Kerr, Lewis and Müller-Stach gave an explicit description of this map in terms of currents. Using a multiplicative version of the Deligne complex, we give a commutative version of this map.

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