Severi`s Conjecture on 0-Cycles for a Complete Intersection.
Simple conditions on conic varieties.
Simple models of quasihomogeneous projective 3-folds.
Singular components of Springer fibers in the two-column case
We consider the Springer fiber corresponding to a nilpotent endomorphism of nilpotent order . As a first result, we give a description of the elements of a given component of which are fixed by the action of the standard torus relative to some Jordan basis of . By using this result, we establish a necessary and sufficient condition of singularity for the components of .
Singular foliations of toric type
Singular locus of the theta divisor for vector bundles of rank two.
Singularités génériques des variétés de Schubert covexillaires
On montre que les composantes irréductibles du lieu singulier d’une variété de Schubert dans associée à une permutation covexillaire, sont paramétrées par certains des points coessentiels du graphe de la permutation. On donne une description explicite de ces composantes et l’on décrit la singularité le long de chacune d’entre elles.
Singularites rationnelles et quotients par les groupes reductifs.
Singularities and coverings of weighted complete intersections.
Singularities Determined by Their Discriminant.
Singularities of affine Schubert varieties.
Singularities of Closures of K-orbits on Flag Manifolds.
Singularities of hyperdeterminants
We study the singular locus of the variety of degenerate hypermatrices of an arbitrary format. Our main result is a classification of irreducible components of the singular locus. Equivalently, we classify irreducible components of the singular locus for the projectively dual variety of a product of several projective spaces taken in the Segre embedding.
Singularities on flag spaces
Singularities with exact Poincaré complex but not quasihomogeneous.
We give examples of complete intersections in C3 with exact Poincaré complex but not quasihomogeneous using the classification of C.T.C. and the algorithm of Mora.
SL2 actions and cohomology of Schubert varieties
SL2-triplet associé à un polynôme homogène.
Slices étales
Smooth affine varieties and complete intersections.
Smooth components of Springer fibers
This article studies components of Springer fibers for that are associated to closed orbits of on the flag variety of . These components occur in any Springer fiber. In contrast to the case of arbitrary components, these components are smooth varieties. Using results of Barchini and Zierau we show these components are iterated bundles and are stable under the action of a maximal torus of . We prove that if is a line bundle on the flag variety associated to a dominant weight, then the higher...