A Class of Pseudo-Real Riemann Surfaces with Diagonal Automorphism Group

作     者：Eslam Badr Eslam Badr

作者机构：Department of MathematicsFacility of Science Cairo UniversityGiza 12613Egypt 

出 版 物：《Algebra Colloquium》 (代数集刊（英文版）)

年 卷 期：2020年第27卷第2期

页      面：247-262页

核心收录：

学科分类：07[理学] 070104[理学-应用数学] 0701[理学-数学] 

主　　题：pseudo-real Riemann surface field of moduli field of definition plane curve automorphism group 

摘      要：A Riemann surface S having field of moduli M,but not a field of definition,is called *** means that S has anticonformal automorphisms,but none of them is an involution.A Riemann surface is said to be plane if it can be described by a smooth plane model of some degree d≥4 in P^2/*** characterize pseudo-real-plane Riemann surfaces»S,whose conformal automorphism group Aut+(S)is PGL3(C)-conjugate to a finite non-trivial group that leaves invariant infinitely many points of P^2/*** particular,we show that such pseudo-real-plane Riemann surfaces exist only if Aut+(S)is cyclic of even order n dividing the degree *** families of pseudo-reai-plane Riemann surfaces are given for any degree d=2pm with m1 odd,p prime and n=d/p.