Real Regulators on Self-Products of K3 Surfaces

Details Real Regulators on Self-Products of K3 Surfaces Real Regulators on Self-Products of K3 Surfaces

2008-06-16

arxiv.org/abs/0806.2676v1

Mathematics

Algebraic Geometry

26 pages

Scientific paper

Based on a novel application of an archimedean type pairing to the geometry and deformation theory of $K3$ surfaces, we construct a regulator indecomposable $K_1$-class on a self-product of a $K3$ surface. In the Appendix, we explain how this pairing is a special instance of a general pairing on precycles in the equivalence relation defining Bloch's higher Chow groups.

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