4 papers · 1 filter
The universal structure of moment maps in complex geometry
Ruadhaà Dervan, Michael Hallam
We introduce a geometric approach to the construction of moment maps in finite and infinite-dimensional complex geometry. We apply this to two settings: Kähler manifolds and holom…
Twisted scalar curvature as a moment map
Ruadhaà Dervan, Thomas Murphy, Julius Ross +2
We develop the moment map theory of the twisted scalar curvature of a Kähler metric. Primarily, we introduce a coupled system of equations on a holomorphic submersion intertwining…
Extremal Kähler metrics on blowups
Ruadhaà Dervan, Lars Martin Sektnan
Consider a compact Kähler manifold which either admits an extremal Kähler metric, or is a small deformation of such a manifold. We show that the blowup of the manifold at a point…
Ding stability and Kähler-Einstein metrics on manifolds with big anticanonical class
Ruadhaà Dervan, Rémi Reboulet
We introduce a notion of uniform Ding stability for a projective manifold with big anticanonical class, and prove that the existence of a unique Kähler-Einstein metric on such a m…