English

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

Algebraic Geometry 2011-10-14 v3

Abstract

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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Cite

@article{arxiv.0912.4334,
  title  = {Neron models of Green-Griffiths-Kerr and log Neron models},
  author = {Tatsuki Hayama},
  journal= {arXiv preprint arXiv:0912.4334},
  year   = {2011}
}

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17 pages