164 citations · 609 across the 38 of their papers we have counts for
5 papers · 1 filter
Complex algebraic compactifications of the moduli space of Hermitian-Yang-Mills connections on a projective manifold
Daniel Greb, Benjamin Sibley, Matei Toma +1
In this paper we study the relationship between three compactifications of the moduli space of Hermitian-Yang-Mills connections on a fixed Hermitian vector bundle over a projective…
Moduli spaces of sheaves that are semistable with respect to a Kähler polarisation
Daniel Greb, Matei Toma
Using an existence criterion for good moduli spaces of Artin stacks by Alper-Fedorchuk-Smyth we construct a proper moduli space of rank two sheaves with fixed Chern classes on a gi…
Canonical complex extensions of Kähler manifolds
Daniel Greb, Michael Lennox Wong
Given a complex manifold , any Kähler class defines an affine bundle over , and any Kähler form in the given class defines a totally real embedding of into this affine bu…
Hamiltonian actions of unipotent groups on compact Kähler manifolds
Daniel Greb, Christian Miebach
We study meromorphic actions of unipotent complex Lie groups on compact Kähler manifolds using moment map techniques. We introduce natural stability conditions and show that sets o…
Harmonic metrics on Higgs sheaves and uniformization of varieties of general type
Daniel Greb, Stefan Kebekus, Thomas Peternell +1
We prove a criterion for the existence of harmonic metrics on Higgs bundles that are defined on smooth loci of klt varieties. As one application, we resolve the quasi-etale uniform…