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arXiv · 2506.10109

On the generalized toroidal completion of period mappings

Haohua Deng·Jacob Tsimerman
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Abstract

Given a period map defined over a quasi-projective variety, we construct a completion with rich geometric and Hodge-theoretic meaning. This result may be regarded as an analog of Mumford's toroidal compactification for locally symmetric Hodge varieties as well as a realizable alternative of Kato--Nakayama--Usui's construction.

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Haohua Deng, Jacob Tsimerman. 2025-06-11. On the generalized toroidal completion of period mappings. https://arxiv.org/abs/2506.10109

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