A new approach to minimising binary quartics and ternary cubics

• Autores: Tom Fisher
• Localización: Mathematical research letters, ISSN 1073-2780, Vol. 14, Nº 4, 2007, págs. 597-613
• Idioma: inglés
• DOI: 10.4310/mrl.2007.v14.n4.a5
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• Resumen

  • We prove a theorem on the minimisation of genus one curves, generalising work of Birch and Swinnerton-Dyer, Cremona and Serf, and Cremona and Stoll. The advantage of our approach over earlier methods is that we do not need to treat residue characteristics 2 and 3 as special cases.