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arXiv · 1409.4098

Degenerating Hodge structure of one-parameter family of Calabi-Yau threefolds

Tatsuki Hayama·Atsushi Kanazawa
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Abstract

To a one-parameter family of Calabi-Yau threefolds, we can associate the extended period map by the log Hodge theory of Kato and Usui. In the present paper, we study the image of a maximally unipotent monodromy point under the extended period map. As an application, we prove the generic Torelli theorem for a large class of one-parameter families of Calabi-Yau threefolds.

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Tatsuki Hayama, Atsushi Kanazawa. 2014-09-14. Degenerating Hodge structure of one-parameter family of Calabi-Yau threefolds. https://arxiv.org/abs/1409.4098

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