46 citations · 193 across the 17 of their papers we have counts for
19 papers
Singular principal bundles on reducible nodal curves
Ángel Luis Muñoz Castañeda, Alexander H. W. Schmitt
Studying degenerations of moduli spaces of semistable principal bundles on smooth curves leads to the problem of constructing and studying moduli spaces on singular curves. In this…
Rational families of instanton bundles on
L. Costa, N. Hoffmann, R. M. Miró-Roig +1
This paper is devoted to the theory of symplectic instanton bundles on an odd dimensional projective space with . We study the 't Hooft instanton bundl…
On the motives of moduli of chains and Higgs bundles
Oscar García-Prada, Jochen Heinloth, Alexander Schmitt
We take another approach to Hitchin's strategy of computing the cohomology of moduli spaces of Higgs bundles by localization with respect to the circle-action. Our computation is d…
On the geometry of moduli spaces of holomorphic chains over compact Riemann surfaces
Luis Alvarez-Consul, Oscar Garcia-Prada, Alexander H. W. Schmitt
We study holomorphic -chains consisting of holomorphic vector bundles over a compact Riemann surface and homomorphisms between them. A noti…
Moduli Spaces for Principal Bundles in Arbitrary Characteristic
T. L. G'omez, A. Langer, A. H. W. Schmitt +1
In this article, we solve the problem of constructing moduli spaces of semistable principal bundles (and singular versions of them) over smooth projective varieties over algebraica…
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}…