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Rational points of algebraic curves

✍ Scribed by V. A. Dem'yanenko


Publisher
SP MAIK Nauka/Interperiodica
Year
1975
Tongue
English
Weight
216 KB
Volume
18
Category
Article
ISSN
0001-4346

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πŸ“œ SIMILAR VOLUMES


On Rational Points of Algebraic Curves o
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Tate proved a theorem on rational points of torsors ("Torsors" means "Homogeneous spaces," in sequel we use "torsors" in this meaning) of \(T / K\), where \(K\) is a local field, \(T\) is a Tate curve. In this paper we extend the above theorem to the case where \(T\) is a twist of a Tate curve, and

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Let K be an algebraic function field in one variable over an algebraically closed field of positive characteristic p. We give an explicit upper bound for the number of rational points of genus-changing curves over K defined by y p =r(x) and show that every genus-changing curve of absolute genus 0 ha

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✍ Takis Sakkalis; Rida Farouki πŸ“‚ Article πŸ“… 1990 πŸ› Elsevier Science 🌐 English βš– 784 KB

Given an irreducible algebraic curve f(x,y) .--0 of degree n > 3 with rational coefficients, we describe algorithms for determining whether the curve is singular, and if so, isolating its singular points, computing their multiplicities, and counting the number of distinct tangents at each, The algor