Topological types of actions on curves. (September 2023)

• Record Type: Journal Article
• Authors: Conti, Diego; Ghigi, Alessandro; Pignatelli, Roberto
• Is Part Of: Journal of symbolic computation. Volume 118(2023)
• Page Start: 17
• Page End: 31
• Publication Date: 2023-09
• Subjects: primary 14H37 -- secondary 14Q05 57M60 14H15 14J10; Automorphisms of Riemann surfaces -- Special subvarieties of the moduli space of curves -- Hurwitz moves -- Braid group -- Group actions in low dimensional topology; Mathematics -- Data processing -- Periodicals; Numerical analysis -- Data processing -- Periodicals; Automatic programming (Computer science) -- Periodicals; Mathématiques -- Informatique -- Périodiques; Analyse numérique -- Informatique -- Périodiques; Programmation automatique -- Périodiques; Automatic programming (Computer science); Mathematics -- Data processing; Numerical analysis -- Data processing; Periodicals; Electronic journals; 510.285
• DOI: 10.1016/j.jsc.2023.01.002
• Languages: English
• ISSNs: 0747-7171

Abstract

Abstract: We describe an algorithm that constructs a list of all topological types of holomorphic actions of a finite group on a compact Riemann surface C of genus g ≥ 2 with C / G ≅ P 1 .