Deformation of spherical CR structures and the universal Picard variety
Differential Geometry
2007-05-23 v2 Algebraic Geometry
Abstract
We study deformation of spherical 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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Cite
@article{arxiv.math/9807035,
title = {Deformation of spherical CR structures and the universal Picard variety},
author = {Jih-Hsin Cheng and I-Hsun Tsai},
journal= {arXiv preprint arXiv:math/9807035},
year = {2007}
}
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57 pages