27 citations · 42 across the 6 of their papers we have counts for
11 papers · 1 filter
Global Boundedness for Decorated Sheaves
Alexander H. W. Schmitt
An important classification problem in Algebraic Geometry deals with pairs $(\E,ϕ)$, consisting of a torsion free sheaf $\E$ and a non-trivial homomorphism $ϕ\colon (\E^{\otimes a}…
A closer look at semistability for singular principal bundles
Alexander H. W. Schmitt
We substantially refine the theory of singular principal bundles introduced in a former paper. In particular, we show that we need only honest singular principal bundles in our com…
Moduli for decorated tuples of sheaves and representation spaces for quivers
Alexander Schmitt
We extend the scope of a former paper to vector bundle problems involving more than one vector bundle. As the main application, we obtain the solution of the well-known moduli prob…
The Hilbert compactification of the universal moduli space of semistable vector bundles over smooth curves
Alexander Schmitt
We construct the Hilbert compactification of the universal moduli space of semistable vector bundles over smooth curves. The Hilbert compactification is the GIT quotient of some op…
Topological rigidity of algebraic -bundles over curves
Alexander Schmitt
A projective algebraic surface which is homeomorphic to a ruled surface over a curve of genus is itself a ruled surface over a curve of genus . In this note, we prove t…
Singular principal bundles over higher dimensional manifolds and their moduli spaces
Alexander Schmitt
In this note, we introduce the notion of a singular principal G-bundle, associated to a reductive algebraic group G over the complex numbers by means of a faithful representation $…