Completion of a period map of Hodge type (1,2,2,1)

Chongyao Chen

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arXiv · 2311.10212

Completion of a period map of Hodge type (1,2,2,1)

Chongyao Chen

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Abstract

We give a completion of the period map associated to a variation of polarized Hodge structure arising from a 2-dimensional geometric family that has Hodge type (1,2,2,1). This is the second known example of a completion of a period map that is higher than one dimensional with non-hermitian symmetric Mumford-Tate domain. The completion technique we use is the theory of Kato-Usui spaces, while the calculation of monodromy matrices is done with the help of mirror symmetry.

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Chongyao Chen. 2023-11-16. Completion of a period map of Hodge type (1,2,2,1). https://arxiv.org/abs/2311.10212

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