Publications of the Research Institute for Mathematical Sciences

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Volume 47, Issue 3, 2011, pp. 803–824
DOI: 10.2977/PRIMS/52

Published online: 2011-07-13

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

Tatsuki Hayama[1]

(1) National Taiwan University, Taipei, Taiwan

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.

Keywords: Néron model, log mixed Hodge structure, admissible normal function, intermediate Jacobian

Hayama Tatsuki: Néron Models of Green–Griffiths–Kerr and log Néron Models. Publ. Res. Inst. Math. Sci. 47 (2011), 803-824. doi: 10.2977/PRIMS/52