Rational points on some elliptic surfaces
Rational points on some pencils of conics with 6 singular fibres
Rational points on the modular curves
Rational points on twists of X₀(63)
Rational points on and quadratic -curves
The rational points on in the case where is a composite number are considered. A computational study of some of the cases not covered by the results of Momose is given. Exceptional rational points are found in the cases and and the -invariants of the corresponding quadratic -curves are exhibited.
Rational points on .
Rational torsion points on elliptic curves over number fields
Rational torsion points on Jacobians of modular curves
Let p be a prime greater than 3. Consider the modular curve X₀(3p) over ℚ and its Jacobian variety J₀(3p) over ℚ. Let (3p) and (3p) be the group of rational torsion points on J₀(3p) and the cuspidal group of J₀(3p), respectively. We prove that the 3-primary subgroups of (3p) and (3p) coincide unless p ≡ 1 (mod 9) and .
Rationale Punkte auf Fermatkurven und getwisteten Modulkurven.
Rationale Punkte über eine algebraische Kurve (points rationnels sur une courbe algébrique)
Rationality of Moduli Spaces of Stable Bundles.
Ratios of congruent numbers
Reed-Muller codes and supersingular curves. I
Reelle algebraische Funktionen mit vorgegebenen Null- und Polstellen.
Représentations galoisiennes associées aux points d’ordre des jacobiennes de certaines courbes de genre 2
Representations of integers by binary forms and the rank of the Mordell-Weil group.
R-equivalence and rationality problem for semisimple adjoint classical algebraic groups