Limits and Singularities of Normal Functions
Algebraic Geometry
2021-06-08 v2
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.
Cite
@article{arxiv.1809.05633,
title = {Limits and Singularities of Normal Functions},
author = {Tokio Sasaki},
journal= {arXiv preprint arXiv:1809.05633},
year = {2021}
}
Comments
4 figures