Remarques sur les corps résolvants des coniques cubiques et quartiques (Q2650278)

In this paper the author completes some details in the proofs for the theorems mentioned in the preceding review. Further results are: 1) If \(f_4(x, y, z) = 0\) has a rational system in \(\Omega\), consisting of an odd number of points, it has a rational triplet in \(\Omega\). 2) The singular points on \(f_n(x, y, z) = 0\) form a rational system in \(\Omega\) of at most \(\frac12(n - 1) (n - 2)\) points.