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MiS Preprint

Families of Line Bundles over Riemann Surfaces, their Sections, and their Degenerations -- A Constructive Approach using Automorphic Forms

Guy Buss


In this paper we study the deformation problem of pairs consisting of a Riemann surface and a holomorphic line bundle over that surface, and also sections thereof. We emphasize a constructive approach throughout and use covering space techniques. In particular, we also describe the limits of such degenerations as the boundary of Teichm\"uller space is approached, and review the construction of augmented Teichm\"uller space in great detail.

Dec 9, 2009
Dec 10, 2009
MSC Codes:
30F30, 30F35, 30F60, 32L05, 32N10
Automorphic Forms, Teichmueller Space, Degenerations

Related publications

2009 Repository Open Access
Guy Buss

Families of line bundles over Riemann surfaces, their sections, and their degenerations : a constructive approach using automorphic forms