Degenerating Hodge structure of one-parameter family of Calabi-Yau threefolds
arXiv:1409.4098
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.
14 pages, to appear in Asian Journal of Mathematics