Limits and Singularities of Normal Functions

Abstract

We construct a collection of higher Chow cycles on certain surfaces which degenerate to an arrangement of planes in general position. When its degree is 4, this construction gives a new explicit proof of the Hodge-D-Conjecture for a certain type of K3 surfaces. As an application, we also construct a certain type of threefolds with non trivial Griffiths group.

4 figures

References in corpus (2)

• The Abel-Jacobi Map for Higher Chow Groups, II
• An Exponential History of Functions with Logarithmic Growth