4 papers
The universal Kobayashi-Hitchin correspondence on Hermitian manifolds
Martin Lubke, Andrei Teleman
We prove a very general Kobayashi-Hitchin correspondence on arbitrary compact Hermitian manifolds. This correspondence refers to moduli spaces of "universal holomorphic oriented pa…
Analytic moduli spaces of simple (co)framed sheaves
H. Flenner, M. Lübke
Let X be a complex space and F a coherent O_X-module. A F-(co)framed} sheaf on X is a pair (E,f) with a coherent O_X-module E and a morphism of coherent sheaves f : F -> E (resp. f…
The natural metric in the Horrocks-Mumford bundle is not Hermitian-Einstein
O. F. B. van Koert, M. Lubke
The Horrocks-Mumford bundle is a famous stable complex vector bundle of rank 2 on 4-dimensional complex projective space. By construction, has a natural Hermitian metric $h…
Flat connections, Higgs operators, and Einstein metrics on compact Hermitian manifolds
M. Lubke
A flat complex vector bundle (E,D) on a compact Riemannian manifold (X,g) is stable (resp. polystable) in the sense of Corlette [C] if it has no D-invariant subbundle (resp. if it…