Proc. Japan Acad. Ser. A Math. Sci. 90 (1), 6-10, (January 2014) DOI: 10.3792/pjaa.90.6
Kazuya Kato, Chikara Nakayama, Sampei Usui
KEYWORDS: Hodge theory, log geometry, log mixed Hodge structure, Néron model, admissible normal function, non-torsion singularity, 14C30, 14D07, 32G20
For any admissible normal function $\nu$ over any dimensional base, we construct by the method of log geometry a Néron model such that $\nu$ extends to a section of the model over the boundary. The model is Hausdorff and is a relative log manifold.