Semistable Sheaves on Projective Varieties and Their Restriction to Curves.
Semistable vector bundles on Mumford curves.
Separating ideals in dimension 2.
Experience shows that in geometric situations the separating ideal associated with two orderings of a ring measures the degree of tangency of the corresponding ultrafilters of semialgebraic sets. A related notion of separating ideals is introduced for pairs of valuations of a ring. The comparison of both types of separating ideals helps to understand how a point on a surface is approached by different half-branches of curves.
Separation of variables and the geometry of Jacobians.
Sequences of rational torsions on abelian varieties.
Série de Poincaré pour certaines courbes
Séries d'Eisenstein et fonctions L de courbes elliptiques à multiplication complexe.
Séries d'Eisenstein et transcendance
Seshadri positive curves in a smooth projective -fold
A notion of positivity, called Seshadri ampleness, is introduced for a smooth curve in a polarized smooth projective -fold , whose motivation stems from some recent results concerning the gonality of space curves and the behaviour of stable bundles on under restriction to . This condition is stronger than the normality of the normal bundle and more general than being defined by a regular section of an ample rank- vector bundle. We then explore some of the properties of Seshadri-ample curves....
Sezioni Wronskiane Generalizzate e famiglie di punti di Weierstrass
S-ganze Punkte auf elliptischen Kurven.
Sheaves associated to holomorphic first integrals
Let be a foliation on a complex, smooth and irreducible projective surface , assume admits a holomorphic first integral . If for some we prove the inequality: . If is rational we prove that the direct image sheaves of the co-normal sheaf of under are locally free; and give some information on the nature of their decomposition as direct sum of invertible sheaves.
Siegel modular forms vanishing on the moduli space.
Siegel's lemma, Padé approximations and jacobians
Simple constructions of algebraic curves with nodes
Simple singularities of multigerms of curves.
We classify stably simple reducible curve singularities in complex spaces of any dimension. This extends the same classification of irreducible curve singuarities obtained by V. I. Arnold. The proof is essentially based on the method of complete transversals by J. Bruce et al.
Singular moduli and supersingular moduli of Drinfeld modules.
Singular Moduli, Modular Polynomials, and the Index of the Closure of Z [j (...)] in Q (j(...)).
Singular principal -bundles on nodal curves
In the present paper, we give a first general construction of compactified moduli spaces for semistable -bundles on an irreducible complex projective curve with exactly one node, where is a semisimple linear algebraic group over the complex numbers.
Singularités rationelles et déformations.