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arXiv 0912.4334math.AG
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Green-Griffiths-Kerr模型和对数Neron模型

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

Tatsuki Hayama

摘要:

对于穿孔圆盘上的Hodge结构的一种变化,Green,Griffiths和Kerr引入了一个Néron模型,它是一个包含容许正规函数值的T2空间。另一方面,Kato,Nakayama和Kagai利用对数混合Hodge理论引入了Néron模型作为对数流形。这项工作构建了这两个模型之间的同胚。

英文摘要:

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.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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