Sur l'idéal jacobien d'une courbe plane
Sur quelques propriétés de l'hypocycloïde à 3 points de rebroussement
Sur quelques propriétés des foyers des courbes algébriques et des focales des cônes algébriques
Sur quelques théorèmes de Joachimsthal
Sur trois coniques confocales deux à deux
Sur un théorème de Jacques Bernoulli
Sur un théorème de M. Chasles concernant les coniques homofocales
Sur une conjecture sur les points de torsion rationnels des jacobiennes de courbes.
Sur une formule de Shioda et Mitani
Sur une méthode élémentaire pour obtenir les développements en série trigonométrique des fonctions elliptiques
Sur une question de B. Mazur.
Sur une relation remarquable entre quelques unes des singularités réelles des courbes algébriques planes
SUX(r, L) is separably unirational
We show that the moduli space of SUX (r, L) of rank r bundles of fixed determinant L on a smooth projective curve X is separably unirational.
Symmetric theta divisors of Klein surfaces
This is a slightly expanded version of the talk given by the first author at the conference Instantons in complex geometry, at the Steklov Institute in Moscow. The purpose of this talk was to explain the algebraic results of our paper Abelian Yang-Mills theory on Real tori and Theta divisors of Klein surfaces. In this paper we compute determinant index bundles of certain families of Real Dirac type operators on Klein surfaces as elements in the corresponding Grothendieck group of Real line bundles...
Symmetry Groups in the Alhambra
Symplectic classification of parametric complex plane curves
Based on the discovery that the δ-invariant is the symplectic codimension of a parametric plane curve singularity, we classify the simple and uni-modal singularities of parametric plane curves under symplectic equivalence. A new symplectic deformation theory of curve singularities is established, and the corresponding cyclic symplectic moduli spaces are reconstructed as canonical ambient spaces for the diffeomorphism moduli spaces which are no longer Hausdorff spaces.
Systematic Growth of Mordell-Weil Groups of Abelian Varieties in Towers of Number Fields.
Systèmes pluricanoniques sur l’espace des modules des courbes et diviseurs de courbes -gonales
Syzygies and logarithmic vector fields along plane curves
We investigate the relations between the syzygies of the Jacobian ideal of the defining equation for a plane curve and the stability of the sheaf of logarithmic vector fields along , the freeness of the divisor and the Torelli properties of (in the sense of Dolgachev-Kapranov). We show in particular that curves with a small number of nodes and cusps are Torelli in this sense.
Syzygies of Canonical Curves and Special Linear Series.