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arXiv · 1809.05633

Limits and Singularities of Normal Functions

Tokio Sasaki
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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.

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Tokio Sasaki. 2018-09-15. Limits and Singularities of Normal Functions. https://arxiv.org/abs/1809.05633

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