Néron Models of Green–Griffiths–Kerr and log Néron Models

Abstract

For a variation of Hodge structure over a punctured disk, Green, Griffiths and Kerr introduced a Néeron model which is a Hausdorff space that includes values of admissible normal functions. On the other hand, Kato, Nakayama and Usui introduced a Néron model as a logarithmic manifold using log mixed Hodge theory. This work constructs a homeomorphism between these two models.