Deformations of affine torus varieties.
Deformations of Arithmetically Cohen-Macaulay subvarieties of pn.
Deformations of Kähler manifolds with nonvanishing holomorphic vector fields
We study compact Kähler manifolds admitting nonvanishing holomorphic vector fields, extending the classical birational classification of projective varieties with tangent vector fields to a classification modulo deformation in the Kähler case, and biholomorphic in the projective case. We introduce and analyze a new class of , and show that they form a smooth subspace in the Kuranishi space of deformations of the complex structure of . We extend Calabi’s theorem on the structure of compact Kähler...
Degenerate (r-2)-Dimensional subvarieties through the generic hyperplane section of a reduced irreducible complex curve in pr.
Degeneration of Schubert varieties of to toric varieties
Using the polytopes defined in an earlier paper, we show in this paper the existence of degeneration of a large class of Schubert varieties of to toric varieties by extending the method used by Gonciulea and Lakshmibai for a miniscule to Schubert varieties in .
Degree Bounds for the Defining Equations of Arithmetically Cohen-Macauly Varieties.
Degrés d’homogénéité de l’ensemble des intersections complètes singulières
Un résultat classique de Boole montre que, sur un corps de caractéristique 0, l’ensemble des hypersurfaces singulières de degré dans est un diviseur de degré de l’espace projectif de toutes les hypersurfaces. On obtient ici des formules analogues pour des intersections complètes de codimension et de degrés quelconques dans , en toute caractéristique.
Demazure character formula in arbitrary Kac-Moody setting.
Der Führer einer Gorensteinvarietät.
Der Gauß-Manin- Zusammenhang isolierter Singularitäten von vollständigen Durchschnitten.
Derived categories of coherent sheaves on rational homogeneous manifolds.
Derived category of toric varieties with small Picard number
This paper aims to construct a full strongly exceptional collection of line bundles in the derived category D b(X), where X is the blow up of ℙn−r ×ℙr along a multilinear subspace ℙn−r−1×ℙr−1 of codimension 2 of ℙn−r ×ℙr. As a main tool we use the splitting of the Frobenius direct image of line bundles on toric varieties.
Derived quot schemes
Descent-cycling in Schubert calculus.
Descente et principe de Hasse pour certaines variétés rationnelles.
Describing toric varieties and their equivariant cohomology
Topologically, compact toric varieties can be constructed as identification spaces: they are quotients of the product of a compact torus and the order complex of the fan. We give a detailed proof of this fact, extend it to the non-compact case and draw several, mostly cohomological conclusions. In particular, we show that the equivariant integral cohomology of a toric variety can be described in terms of piecewise polynomials on the fan if the ordinary integral cohomology is concentrated in even...
Description de certains super groupes classiques
La première partie de cet article est une adaptation au cadre des super groupes d’un théorème dû à Cartier qui assure que les groupes formels sont lisses en caractéristique zéro. La seconde partie donne une description des super groupes de Lie dits “vraiment classiques” comme groupes d’automorphismes de super algèbres semi-simples associatives à involution, selon une méthode de Weil.
Désingularisation des variétés de Schubert généralisées
Desingularizations of Varieties of Nullforms.
Diagonal Quotient Surfaces.