For a variation of Hodge structure over a punctured disk, Green, Griths 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.
Cite this article
Tatsuki Hayama, Néron Models of Green–Griffiths–Kerr and log Néron Models. Publ. Res. Inst. Math. Sci. 47 (2011), no. 3, pp. 803–824