Neron models of Green-Griffiths-Kerr and log Neron models

Abstract

For a variation of Hodge structure over a punctured disk, Green, Griffiths and Kerr introduced a Néron 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.

arXiv comment17 pages

References in corpus (1)

• Hausdorff property of the Neron models of Green, Griffiths and Kerr