Dihedral groups of automorphisms of compact Riemann surfaces of genus two

2013 ◽  
Vol 26 ◽  
Author(s):  
Qingje Yang ◽  
Dan Yang
Keyword(s):  
Riemann Surfaces ◽  
Dihedral Groups ◽  
Groups Of Automorphisms ◽  
Compact Riemann Surfaces ◽  
Genus Two

Dihedral Groups of Automorphisms of Compact Riemann Surfaces

1998 ◽  
Vol 41 (2) ◽  
pp. 252-256 ◽  
Author(s):  
Qingjie Yang
Keyword(s):  
Riemann Surfaces ◽  
Group Actions ◽  
Dihedral Groups ◽  
Groups Of Automorphisms ◽  
Compact Riemann Surfaces

AbstractIn this note we determine which dihedral subgroups of GLg(ℂ) can be realized by group actions on Riemann surfaces of genus g > 1.

scholarly journals Two-loop superstring five-point amplitudes. Part I. Construction via chiral splitting and pure spinors

2020 ◽  
Vol 2020 (8) ◽  
Author(s):  
Eric D’Hoker ◽  
Carlos R. Mafra ◽  
Boris Pioline ◽  
Oliver Schlotterer
Keyword(s):  
First Principles ◽  
Riemann Surfaces ◽  
Companion Paper ◽  
Type Ii ◽  
Pure Spinor ◽  
Perfect Agreement ◽  
Brst Cohomology ◽  
Spinor Formulation ◽  
Compact Riemann Surfaces ◽  
Genus Two

Abstract The full two-loop amplitudes for five massless states in Type II and Heterotic superstrings are constructed in terms of convergent integrals over the genus-two moduli space of compact Riemann surfaces and integrals of Green functions and Abelian differentials on the surface. The construction combines elements from the BRST cohomology of the pure spinor formulation and from chiral splitting with the help of loop momenta and homology invariance. The α′ → 0 limit of the resulting superstring amplitude is shown to be in perfect agreement with the previously known amplitude computed in Type II supergravity. Investigations of the α′ expansion of the Type II amplitude and comparisons with predictions from S-duality are relegated to a first companion paper. A construction from first principles in the RNS formulation of the genus-two amplitude with five external NS states is relegated to a second companion paper.

Dihedral Groups of Order 2p of Automorphisms of Compact Riemann Surfaces of Genus p – 1

2015 ◽  
Vol 58 (1) ◽  
pp. 196-206
Author(s):  
Qingjie Yang ◽  
Weiting Zhong
Keyword(s):  
Automorphism Group ◽  
Conjugacy Class ◽  
Riemann Surfaces ◽  
Symplectic Group ◽  
Dihedral Group ◽  
Dihedral Groups ◽  
Analytic Automorphism ◽  
Compact Riemann Surfaces

AbstractIn this paper we prove that there is only one conjugacy class of dihedral group of order 2p in the 2(p – 1) × 2(p – 1) integral symplectic group that can be realized by an analytic automorphism group of compact connected Riemann surfaces of genus p – 1. A pair of representative generators of the realizable class is also given.

scholarly journals On symmetries of compact Riemann surfaces with cyclic groups of automorphisms

2006 ◽  
Vol 301 (1) ◽  
pp. 82-95 ◽  
Author(s):  
E. Bujalance ◽  
F.J. Cirre ◽  
J.M. Gamboa ◽  
G. Gromadzki
Keyword(s):  
Riemann Surfaces ◽  
Cyclic Groups ◽  
Groups Of Automorphisms ◽  
Compact Riemann Surfaces
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