scholarly journals A note on large automorphism groups of compact Riemann surfaces

2020 ◽  
Vol 547 ◽  
pp. 1-21 ◽  
Author(s):  
Milagros Izquierdo ◽  
Sebastián Reyes-Carocca
Keyword(s):  
Riemann Surfaces ◽  
Automorphism Groups ◽  
Compact Riemann Surfaces

scholarly journals Automorphism groups of compact riemann surfaces of genus five

1990 ◽  
Vol 134 (1) ◽  
pp. 80-103 ◽  
Author(s):  
Akikazu Kuribayashi ◽  
Hideyuki Kimura
Keyword(s):  
Riemann Surfaces ◽  
Automorphism Groups ◽  
Compact Riemann Surfaces

scholarly journals Automorphism Groups of Symmetric and Pseudo-real Riemann Surfaces

2021 ◽  
Vol 18 (5) ◽  
Author(s):  
Ewa Tyszkowska
Keyword(s):  
Riemann Surfaces ◽  
Algebraic Curve ◽  
Algebraic Curves ◽  
Automorphism Groups ◽  
Real Riemann Surfaces ◽  
Compact Riemann Surfaces

AbstractThe category of smooth, irreducible, projective, complex algebraic curves is equivalent to the category of compact Riemann surfaces. We study automorphism groups of Riemann surfaces which are equivalent to complex algebraic curves with real moduli. A complex algebraic curve C has real moduli when the corresponding surface $$X_C$$ X C admits an anti-conformal automorphism. If no such an automorphism is an involution (symmetry), then the surface $$X_C$$ X C is called pseudo-real and the curve C is isomorphic to its conjugate, but is not definable over reals. Otherwise, the surface $$X_C$$ X C is called symmetric and the curve C is real.

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