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.
Der Satz von Grauert-Mülich für beliebige semistabile holomorphe Vektorbündel über dem n-dimensionalen komplex-projektiven Raum.
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 invariance of the number of holomorphic -forms and vector fields
We prove that smooth projective varieties with equivalent derived categories have isogenous Picard varieties. In particular their irregularity and number of independent vector fields are the same. This implies that all Hodge numbers are the same for arbitrary derived equivalent threefolds, as well as other consequences of derived equivalence based on numerical criteria.
Des fibrés globalement engendrés sur l' espace projectif.
Des fibrés uniformes non homogènes.
Des fibrés uniformes non homogènes et indécomposables de rang (2n + 1) sur Pn ( C ), n ... 3.
Determinantal Barlow surfaces and phantom categories
We prove that the bounded derived category of the surface constructed by Barlow admits a length 11 exceptional sequence consisting of (explicit) line bundles. Moreover, we show that in a small neighbourhood of in the moduli space of determinantal Barlow surfaces, the generic surface has a semiorthogonal decomposition of its derived category into a length 11 exceptional sequence of line bundles and a category with trivial Grothendieck group and Hochschild homology, called a phantom category....
Determining obstructions for space curves, with applications to non-reduced components of the Hilbert scheme.
Die Modulräume 3MstIP3 (?2,3,c3) .