paper

Solving conics over Q(t1,..,tk)

arXiv:math/0410372

Abstract

Let K = Q(t1,..,tk) and a,b,c in K. We give a simple algorithm to find, if it exists, X,Y,Z in K, not all zero, for which aX^2 + bY^2 + cZ^2 = 0.

8 pages

Solving conics over Q(t1,..,tk) · wovepaper