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.
Tate duality and ramification of division algebras
Tate-Shafarevich groups and L-functions of elliptic curves with complex multiplication.
Tautological Cycles on Jacobian Varieties
Tautological relations and the -spin Witten conjecture
In [11], A. Givental introduced a group action on the space of Gromov–Witten potentials and proved its transitivity on the semi-simple potentials. In [24, 25], Y.-P. Lee showed, modulo certain results announced by C. Teleman, that this action respects the tautological relations in the cohomology ring of the moduli space of stable pointed curves. Here we give a simpler proof of this result. In particular, it implies that in any semi-simple Gromov–Witten theory where arbitrary correlators can be...
Teichmüllerraum für total degenerierte Kurven.
Teorema de irreducibilidad para correspondencias algebraicas.
Sea T una correspondencia algebraica irreducible entre dos variedades proyectivas, V y V', sobre un cuerpo k algebraicamente cerrado y de característica cero. Sea W una subvariedad irreducible de V y W' = T{W} la transformada total de W en T. En [1] se estudia el problema de la conexión de W' y en [3] se estudia el problema de la irreducibilidad de la transformada total de W en correspondencias locales. La finalidad de este artículo es la de aprovechar los resultados de los dos trabajos citados,...
Termes locaux de la formule de Lefschetz pour les courbes
Terms in elliptic divisibility sequences divisible by their indices
Ternary quartics and 3-dimensional commutative algebras.