Number of rational places of subfields of the function field of the Deligne-Lusztig curve of Ree type
Emrah Çakçak, Ferruh Özbudak (2005)
Acta Arithmetica
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Displaying similar documents to “The real field with the rational points of an elliptic curve”
Number of rational places of subfields of the function field of the Deligne-Lusztig curve of Ree type
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This article concerns the problem of solving diophantine equations in rational numbers. It traces the way in which the 19th century broke from the centuries-old tradition of the purely algebraic treatment of this problem. Special attention is paid to Sylvester’s work “On Certain Ternary Cubic-Form Equations” (1879–1880), in which the algebraico-geometrical approach was applied to the study of an indeterminate equation of third degree.
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Rusin, David J. (1998)
The New York Journal of Mathematics [electronic only]
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Franz Lemmermeyer (2003)
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Analele Ştiinţifice ale Universităţii “Ovidius" Constanţa. Seria: Matematică
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A dynamical Shafarevich theorem for twists of rational morphisms
Brian Justin Stout (2014)
Acta Arithmetica
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Let K denote a number field, S a finite set of places of K, and ϕ: ℙⁿ → ℙⁿ a rational morphism defined over K. The main result of this paper states that there are only finitely many twists of ϕ defined over K which have good reduction at all places outside S. This answers a question of Silverman in the affirmative.