Neron models of Green-Griffiths-Kerr and log Neron models

Details Neron models of Green-Griffiths-Kerr and log Neron models Neron models of Green-Griffiths-Kerr and log Neron models

2009-12-22

arxiv.org/abs/0912.4334v3

Publ. RIMS (2011) Volume 47, 803-824

Mathematics

Algebraic Geometry

17 pages

Scientific paper

10.2977/PRIMS/52

For a variation of Hodge structure over a punctured disk, Green, Griffiths
and Kerr introduced a N\'eron model which is a Hausdorff space that includes
values of admissible normal functions. On the other hand, Kato, Nakayama and
Usui introduced a N\'eron model as a logarithmic manifold using log mixed Hodge
theory. This work constructs a homeomorphism between these two models.

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