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math.DG2024
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…
math.DG2024
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…