Néron models for admissible normal functions

Proceedings of the Japan Academy, Series A. Mathematical Sciences

article

Kazuya Kato¹  Chikara Nakayama²  Sampei Usui³ 

[1] Department of Mathematics, University of Chicago;Department of Economics, Hitotsubashi University;Graduate School of Science, Osaka University

关键词: Hodge theory;    log geometry;    log mixed Hodge structure;    Ne´ron model;    admissible normal function;    non-torsion singularity.;   

DOI  :  10.3792/pjaa.90.6

学科分类：数学（综合）

来源: Japan Academy

【 摘 要 】

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.

【 授权许可】

Unknown