Deformation of spherical CR structures and the universal Picard variety

Details Deformation of spherical CR structures and the universal Picard variety Deformation of spherical CR structures and the universal Picard variety

1998-07-08

arxiv.org/abs/math/9807035v2

Commun. Anal. and Geom., 8(2000), 301-346

Mathematics

Differential Geometry

57 pages

Scientific paper

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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