JournalsprimsVol. 47, No. 3pp. 803–824

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

  • Tatsuki Hayama

    National Taiwan University, Taipei, Taiwan
Néron Models of Green–Griffiths–Kerr and log Néron Models cover
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Abstract

For a variation of Hodge structure over a punctured disk, Green, Griths and Kerr introduced a Néeron model which is a Hausdor ff 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

DOI 10.2977/PRIMS/52