On the automorphism group of quotient modular curves
In this article, we determine the automorphism group of all the quotient modular curves of the modular curve X0(pq), where p,q are two distinct primes. In obtaining such results, we provide different insights to compute the automorphism group for any quotient modular curve, which are very effective...
| Autores: | , |
|---|---|
| Tipo de recurso: | artículo |
| Fecha de publicación: | 2025 |
| País: | España |
| Institución: | Varias* (Consorci de Biblioteques Universitáries de Catalunya, Centre de Serveis Científics i Acadèmics de Catalunya) |
| Repositorio: | Recercat. Dipósit de la Recerca de Catalunya |
| OAI Identifier: | oai:recercat.cat:2072/484451 |
| Acceso en línea: | http://hdl.handle.net/2072/484451 |
| Access Level: | acceso abierto |
| Palabra clave: | Atkin-Lehner involution Automorphism group Modular curve Petri's theorem 51 |
| Sumario: | In this article, we determine the automorphism group of all the quotient modular curves of the modular curve X0(pq), where p,q are two distinct primes. In obtaining such results, we provide different insights to compute the automorphism group for any quotient modular curve, which are very effective when the level of the curve is square-free. In particular, in the case where the level of the quotient curve is non square-free, we would mention that we present an unfamiliar automorphism of order 3 for the genus 4 curve X0⁎(25⋅11) defined over Q[5]. |
|---|