A functional relation for accessory parameters for genus 2 algebraic curves with an order 4 automorphism

• Autores: Robert Silhol
• Localización: Journal of the London Mathematical Society, ISSN 0024-6107, Vol. 71, Nº 1, 2005, págs. 133-145
• Idioma: inglés
• DOI: 10.1112/s0024610704006015
• Texto completo no disponible (Saber más ...)
• Resumen

  • Let be a genus 2 algebraic curve defined by an equation of the form . As is well known, the five accessory parameters for such an equation can all be expressed in terms of and the accessory parameter corresponding to . The main result of the paper is that if , which in general yields a non-isomorphic curve , then .

    This is proven by it being shown how the uniformizing function from the unit disk to can be explicitly described in terms of the uniformizing function for.