scholarly journals Schottky uniformization¶and vector bundles over Riemann surfaces

2001 ◽  
Vol 105 (1) ◽  
pp. 69-83 ◽  
Author(s):  
Carlos Florentino
Keyword(s):  
Riemann Surfaces ◽  
Vector Bundles ◽  
Schottky Uniformization

scholarly journals Schottky uniformizations of closed Riemann surfaces with Abelian groups of conformal automorphisms

1994 ◽  
Vol 36 (1) ◽  
pp. 17-32 ◽  
Author(s):  
Rubén A. Hidalgo
Keyword(s):  
Abelian Group ◽  
Riemann Surface ◽  
Riemann Surfaces ◽  
Abelian Groups ◽  
Its Region ◽  
Schottky Group ◽  
Schottky Groups ◽  
Schottky Uniformization ◽  
Closed Riemann Surface ◽  
Holomorphic Covering

Let us consider a pair (S, H) consisting of a closed Riemann surface S and an Abelian group H of conformal automorphisms of S. We are interested in finding uniformizations of S, via Schottky groups, which reflect the action of the group H. A Schottky uniformization of a closed Riemann surface S is a triple (Ώ, G, π:Ώ→S) where G is a Schottky group with Ώ as its region ofdiscontinuity and π:Ώ→S is a holomorphic covering with G ascovering group. We look for a Schottky uniformization (Ώ, G, π:Ώ→S) of S such that for each transformation h in H there exists an automorphisms t of Ώ satisfying h ∘ π = π ∘ t.

Connections on vector bundles over super Riemann surfaces

1989 ◽  
Vol 220 (4) ◽  
pp. 557-561 ◽  
Author(s):  
Mark Rakowski ◽  
George Thompson
Keyword(s):  
Riemann Surfaces ◽  
Vector Bundles ◽  
Super Riemann Surfaces
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