92 citations · 408 across the 19 of their papers we have counts for
23 papers
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…
The structure of exceptional sequences on toric varieties of Picard rank two
Klaus Altmann, Frederik Witt
For a smooth projective toric variety of Picard rank two we classify all exceptional sequences of invertible sheaves which have maximal length. In particular, we prove that unlike…
Toric co-Higgs sheaves
Klaus Altmann, Frederik Witt
We characterise and investigate co-Higgs sheaves and associated algebraic and combinatorial invariants on toric varieties. In particular, we compute explicit examples.
Asymptotic Geometry of the Hitchin Metric
Rafe Mazzeo, Jan Swoboda, Hartmut Weiss +1
We study the asymptotics of the natural metric on the Hitchin moduli space with group . Our main result, which addresses a detailed conjectural picture ma…
Holonomy rigidity for Ricci-flat metrics
Bernd Ammann, Klaus Kroencke, Hartmut Weiss +1
On a closed connected oriented manifold we study the space of all Riemannian metrics which admit a non-zero parallel spinor on the universal covering. Such…
Limiting configurations for solutions of Hitchin's equation
Rafe Mazzeo, Jan Swoboda, Hartmut Weiss +1
We review recent work on the compactification of the moduli space of Hitchin's self-duality equation. We study the degeneration behavior near the ends of this moduli space in a set…