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

For a variation of Hodge structure over a punctured disk, Green, Griffiths and Kerr introduced a Néron 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.

preprint2010arXivOpen access
Tatsuki Hayama
math.AG
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Tatsuki Hayama

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