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Abstract In this article, we study compact Riemann surfaces of genus š¯‘” with an automorphism of prime order g + 1 g+1 . The main result provides a classification of… Click to show full abstract
Abstract In this article, we study compact Riemann surfaces of genus š¯‘” with an automorphism of prime order g + 1 g+1 . The main result provides a classification of such surfaces. In addition, we give a description of them as algebraic curves, determine and realise their full automorphism groups and compute their fields of moduli. We also study some aspects of their Jacobian varieties such as isogeny decompositions and complex multiplication. Finally, we determine the period matrix of the Accolaā€“Maclachlan curve of genus four.
Keywords:
actions riemann;
riemann surfaces;
prime actions;
large prime
Journal Title: Journal of Group Theory
Year Published: 2022
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Journal Title: Journal of Group Theory
Year Published: 2022
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!