4 papers
Moment maps and stability of holomorphic submersions
Annamaria Ortu
We prove a finite-dimensional moment map property for certain canonical relatively Kähler metrics on holomorphic fibrations, called optimal symplectic connections. We then relate t…
Constant scalar curvature Kähler metrics and semistable vector bundles
Annamaria Ortu, Lars Martin Sektnan
We give a necessary and sufficient condition for the projectivisation of a slope semistable vector bundle to admit constant scalar curvature Kähler (cscK) metrics in adiabatic clas…
The analytic moduli space of holomorphic submersions
Annamaria Ortu
We construct a moduli space that parametrises stable proper holomorphic submersions over a fixed compact Kaehler base. Stability is described in terms of the existence of a canonic…
Optimal Symplectic Connections and Deformations of Holomorphic Submersions
Annamaria Ortu
We give a general construction of extremal Kaehler metrics on the total space of certain holomorphic submersions, extending results of Dervan-Sektnan, Fine, and Hong. We consider s…