概要 | As a joint work of Kazuya Kato, Chikara Nakayama, and Usui,
various partial compactifications of a classifying space D of
mixed Hodge structures were constructed, and their relation was
described as a fundamental diagram.
We will observe mirror quintic 3-folds in this framework.
The following were known:
- A large complex structure limit point is a boundary point of
a toroidal partial compactification of a quotient of D.
- The canonical coordinate is a cusp form at this boundary point.
- Generic global Torelli theorem holds.
The fundamental diagram itself seems to be more closely related
with mirror symmetry.
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