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On large prime actions on Riemann surfaces.
- Source :
- Journal of Group Theory; Sep2022, Vol. 25 Issue 5, p887-940, 54p
- Publication Year :
- 2022
-
Abstract
- In this article, we study compact Riemann surfaces of genus 𝑔 with an automorphism of prime order 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 Accola–Maclachlan curve of genus four. [ABSTRACT FROM AUTHOR]
- Subjects :
- ALGEBRAIC curves
AUTOMORPHISM groups
ALGEBRAIC surfaces
RIEMANN surfaces
Subjects
Details
- Language :
- English
- ISSN :
- 14335883
- Volume :
- 25
- Issue :
- 5
- Database :
- Complementary Index
- Journal :
- Journal of Group Theory
- Publication Type :
- Academic Journal
- Accession number :
- 158759187
- Full Text :
- https://doi.org/10.1515/jgth-2020-0140