Self-duality equation: Monodromy matrices and algebraic curves
Selfinjective algebras of wild canonical type
We develop the representation theory of selfinjective algebras which admit Galois coverings by the repetitive algebras of algebras whose derived category of bounded complexes of finite-dimensional modules is equivalent to the derived category of coherent sheaves on a weighted projective line with virtual genus greater than one.
Selmer groups and Heegner points in anticyclotomic -extensions
Selmer groups and torsion zero cycles on the selfproduct of a semistable elliptic curve.
Semicontinuity for representations of one-dimensional Cohen-Macaulay rings.
Semidefinite geometry of the numerical range.
Semi-group conditions for affine algebraic plane curves with more than one place at infinity.
An interesting and open question is the classification of affine algebraic plane curves. Abhyankar and Moh (1977) completely described the possible links at infinity for those curves where the link has just one component, a knot. Such curves are said to have one place at infinity. The Abhyankar-Moh result has been of great assistance in classifying those polynomials which define a connected curve with one place at infinity. This paper provides a new proof of the Abhyankar-Moh result which is then...
Semigroup of Two Irreducible Algebroid Plane Curves.
Semigroups associated to singular points of plane curves.
Semistability of Frobenius direct images over curves
Let be a smooth projective curve of genus defined over an algebraically closed field of characteristic . Given a semistable vector bundle over , we show that its direct image under the Frobenius map of is again semistable. We deduce a numerical characterization of the stable rank- vector bundles , where is a line bundle over .
Semi-Stable Curves on Algebraic Surfaces and Logarithmic Pluricanonical Maps.
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....