5 papers
The Weil Decoration of the Horrocks-Mumford Bundle
Klaus Altmann, Andreas Hochenegger, Frederik Witt
For a normal algebraic variety we generalise the relation between reflexive rank one sheaves and Weil divisors to reflexive sheaves of arbitrary rank and so-called Weil decorations…
Exceptional sequences of line bundles on projective bundles
Klaus Altmann, Andreas Hochenegger, Frederik Witt
For a vector bundle we investigate exceptional sequences of line bundles on the total space of the projectivisation . In…
Relations among -Twists
Andreas Hochenegger, Andreas Krug
Given two -objects in some algebraic triangulated category, we investigate the possible relations among the associated -twists. The main result is that, und…
On Ulrich bundles on projective bundles
Andreas Hochenegger
In this article, the existence of Ulrich bundles on projective bundles is discussed. In the case, that the base variety is a curve or surface, a close rela…
Toric sheaves and polyhedra
Klaus Altmann, Andreas Hochenegger, Frederik Witt
Over a smooth projective toric variety we study toric sheaves, that is, reflexive sheaves equivariant with respect to the acting torus, from a polyhedral point of view. One applica…