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Rational billiards and algebraic curves

✍ Scribed by E. Aurell; C. Itzykson

Book ID
103906723
Publisher
Elsevier Science
Year
1988
Tongue
English
Weight
757 KB
Volume
5
Category
Article
ISSN
0393-0440

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πŸ“œ SIMILAR VOLUMES

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A function F (x, y, t) that assigns to each parameter t an algebraic curve F (x, y, t) = 0 is called a moving curve. A moving curve F (x, y, t) is said to follow a rational curve x = x(t)/w(t), y = y(t)/w(t) if F (x(t)/w(t), y(t)/w(t), t) is identically zero. A new technique for finding the implici

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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