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arXiv · 2312.00542

Completion of two-parameter period maps by nilpotent orbits

Haohua Deng·Colleen Robles
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Abstract

We show that every two-parameter period map admits a Kato--Nakayama--Usui completion to a morphism of log manifolds, and the map onto the image is a morphism of compact algebraic spaces. This result also applies to the case of mixed period maps and we use it to give a construction of generalized N\`eron models.

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Haohua Deng, Colleen Robles. 2023-12-01. Completion of two-parameter period maps by nilpotent orbits. https://arxiv.org/abs/2312.00542

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