Consistent algebras and special tilting sequences.
Construction of Rank 2 semistable torsion free sheaves which are not limit of Vector bundles.
Contractions rationnelles des variétés algébriques
Convex bodies associated to linear series
In his work on log-concavity of multiplicities, Okounkov showed in passing that one could associate a convex body to a linear series on a projective variety, and then use convex geometry to study such linear systems. Although Okounkov was essentially working in the classical setting of ample line bundles, it turns out that the construction goes through for an arbitrary big divisor. Moreover, this viewpoint renders transparent many basic facts about asymptotic invariants of linear series, and opens...
Correction and Remark to "On Stable and Uniform Rank-2 Vector Bundles on P2 in Characteristic p".
Correction to ,,Rationality of Moduli Spaces of Stable Bundles". Math. Ann. 215, 251?268 (1975).
Correction to:" Spanning homogeneous vector bundles".
Corrections à l'article "Annulation du H1 et systèmes paracanoniques sur les surfaces".
Critères de platitude et de projectivité Techniques de "platification" d'un module.
Cyclic Coverings: Deformation and Torelli Theorem.
Das Horrocks-Mumford-Bündel und das Modul-Schema für stabile 2-Vektorbündel über IP4 mit c1= -1, c2 = 4.
Das Spektrum torsionsfreier Garben I.
Decomposable subbundles of polystable vector bundles on projective curves.
Decomposition numbers for perverse sheaves
The purpose of this article is to set foundations for decomposition numbers of perverse sheaves, to give some methods to calculate them in simple cases, and to compute them concretely in two situations: for a simple (Kleinian) surface singularity, and for the closure of the minimal non-trivial nilpotent orbit in a simple Lie algebra.This work has applications to modular representation theory, for Weyl groups using the nilpotent cone of the corresponding semisimple Lie algebra, and for reductive...
Deformation of Varieties Defined by Sections in Homogeneous Vector Bundles.
Deformation theory, generic vanishing theorems, and some conjectures of Enriques, Catanese and Beauville.
Deformations of Principal Bundles on the Projective Line.
Deforming Vector Bundles on the Projective Plane.
Degenerate Symplectic and Orthogonal Bundles an IP1.
Degenerations of Horrocks-Mumford Surfaces.