scholarly journals Physically realistic solutions to the Ernst equation on hyperelliptic Riemann surfaces

1998 ◽  
Vol 58 (12) ◽  
Author(s):  
C. Klein ◽  
O. Richter
Keyword(s):  
Riemann Surfaces ◽  
Ernst Equation ◽  
Hyperelliptic Riemann Surfaces

scholarly journals A remark on the η-invariant for automorphisms of hyperelliptic Riemann surfaces

2000 ◽  
Vol 62 (2) ◽  
pp. 177-182 ◽  
Author(s):  
Takayuki Morifuji
Keyword(s):  
Finite Order ◽  
Riemann Surfaces ◽  
Prime Order ◽  
Mapping Torus ◽  
Hyperelliptic Riemann Surfaces ◽  
Order Surface

We give a characterisation for the vanishing of the η-invariant of prime order automorphisms of hyperelliptic Riemann surfaces through the mapping torus construction. To this end, we introduce a notion of s-symmetry for finite order surface automorphisms.

The full automorphism groups of hyperelliptic Riemann surfaces

1993 ◽  
Vol 79 (1) ◽  
pp. 267-282 ◽  
Author(s):  
E. Bujalance ◽  
J. M. Gamboa ◽  
G. Gromadzki
Keyword(s):  
Riemann Surfaces ◽  
Automorphism Groups ◽  
Hyperelliptic Riemann Surfaces

scholarly journals Topological Classification of Conformal Actions onpq-Hyperelliptic Riemann Surfaces

2007 ◽  
Vol 2007 ◽  
pp. 1-29 ◽  
Author(s):  
Ewa Tyszkowska
Keyword(s):  
Riemann Surface ◽  
Riemann Surfaces ◽  
Compact Riemann Surface ◽  
Topological Classification ◽  
Hyperelliptic Riemann Surfaces

A compact Riemann surfaceXof genusg>1is said to bep-hyperellipticifXadmits a conformal involutionρ, for whichX/ρis an orbifold of genusp. If in additionXisq-hyperelliptic, then we say thatXispq-hyperelliptic. Here we study conformal actions onpq-hyperelliptic Riemann surfaces with centralp- andq-hyperelliptic involutions.

On symmetries of p-hyperelliptic Riemann surfaces

1997 ◽  
Vol 308 (1) ◽  
pp. 31-45 ◽  
Author(s):  
E. Bujalance ◽  
A. F. Costa
Keyword(s):  
Riemann Surfaces ◽  
Hyperelliptic Riemann Surfaces
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