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: | , |
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| Tipo de recurso: | artículo |
| Fecha de publicación: | 2025 |
| País: | España |
| Institución: | Universitat Autònoma de Barcelona |
| Repositorio: | Dipòsit Digital de Documents de la UAB |
| Idioma: | inglés |
| OAI Identifier: | oai:ddd.uab.cat:309959 |
| Acceso en línea: | https://ddd.uab.cat/record/309959 https://dx.doi.org/urn:doi:10.1016/j.jalgebra.2025.02.037 |
| Access Level: | acceso embargado |
| Palabra clave: | Automorphism group Modular curve Atkin-Lehner involution Petri's theorem |
| 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 squarefree. 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 X∗0 (25 · 11) defined over Q[√5]. |
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