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Deformation of spherical CR structures and the universal Picard variety

Jih-Hsin Cheng·I-Hsun Tsai
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Abstract

We study deformation of spherical $CR$ circle bundles over Riemann surfaces of genus > 1. There is a one to one correspondence between such deformation space and the so-called universal Picard variety. Our differential-geometric proof of the structure and dimension of the unramified universal Picard variety has its own interest, and our theory has its counterpart in the Teichmuller theory.

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Jih-Hsin Cheng, I-Hsun Tsai. 2000-05-24. Deformation of spherical CR structures and the universal Picard variety. https://arxiv.org/abs/math/9807035

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