2 citations · 3 across the 6 of their papers we have counts for
13 papers · 1 filter
Twisted scalar curvature as a moment map
Ruadhaí 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…
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…
Analytic K-semistability and local wall-crossing
Lars Martin Sektnan, Carl Tipler
For a small polarised deformation of a constant scalar curvature Kähler manifold, under some cohomological vanishing conditions, we prove that K-polystability along nearby polarisa…
Extremal metrics on the total space of destabilising test configurations
Lars Martin Sektnan, Cristiano Spotti
We construct extremal metrics on the total space of certain destabilising test configurations for strictly semistable Kähler manifolds. This produces infinitely many new examples o…
Extremal Kähler metrics on blowups
Ruadhaí 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 a…
-critical connections and Bridgeland stability conditions
Ruadhaí Dervan, John Benjamin McCarthy, Lars Martin Sektnan
We associate geometric partial differential equations on holomorphic vector bundles to Bridgeland stability conditions. We call solutions to these equations -critical connection…