Rational projectively Cohen-Macaulay surfaces of maximum degree.
In this paper we determine the greatest degree of a rational projectively Cohen-Macaulay (p.C.M.) surface V in PN and we study the surfaces which attain such maximum degree.
Rational Puiseux expansions
Rational real algebraic models of topological surfaces.
Rational smoothness of varieties of representations for quivers of Dynkin type
We study the Zariski closures of orbits of representations of quivers of type , ou . With the help of Lusztig’s canonical base, we characterize the rationally smooth orbit closures and prove in particular that orbit closures are smooth if and only if they are rationally smooth.
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 Ausführung der Operationen in der Theorie der algebraischen Functionen.
Rationale Punkte auf Fermatkurven und getwisteten Modulkurven.
Rationale Punkte über eine algebraische Kurve (points rationnels sur une courbe algébrique)
Rationale Singularitäten komplexer Flächen.
Rationalité de valeurs spéciales de certaines fonctions L
Rationalité des fonctions des variétés algébriques
Rationalité des Singularités Canoniques.
Rationalité et valeurs de fonctions en cohomologie cristalline
Dans l’exposé Bourbaki 409, Katz conjecture la méromorphie -adique de la fonction attachée à une variété lisse sur un corps fini () et à un -cristal sur . Si est propre et lisse sur nous prouvons que est rationnelle et fournie par l’expression habituelle utilisant l’action du Frobenius sur la cohomologie cristalline à coefficients dans ; ce résultat n’était connu, via les “conjectures de Weil”, que pour des -cristaux unités particuliers: ceux provenant d’une représentation de...
Rationality of Moduli Spaces of Stable Bundles.
Rationality of Moduli spaces of torsion free sheaves over rational surfaces.
Rationality of the moduli variety of curves of genus 3.
Rationality of the quotient of ℙ2 by finite group of automorphisms over arbitrary field of characteristic zero
Let be a field of characteristic zero and G be a finite group of automorphisms of projective plane over . Castelnuovo’s criterion implies that the quotient of projective plane by G is rational if the field is algebraically closed. In this paper we prove that is rational for an arbitrary field of characteristic zero.
Rationally connected foliations on surfaces.
Rationally connected varieties over local fields.