3 papers
math.DG2020
The Hitchin-cscK system
Carlo Scarpa
We present an infinite-dimensional hyperkähler reduction that extends the classical moment map picture of Fujiki and Donaldson for the scalar curvature of Kähler metrics. We base o…
math.DG2019
Solutions to Donaldson's hyperkähler reduction on a curve
Carlo Scarpa, Jacopo Stoppa
We study an infinite-dimensional hyperkähler reduction introduced by Donaldson and associated with the constant scalar curvature equation on a Riemann surface. It is known that the…
math.DG2018
Scalar curvature and an infinite-dimensional hyperkähler reduction
Carlo Scarpa, Jacopo Stoppa
We discuss a natural extension of the Kähler reduction of Fujiki and Donaldson, which realises the scalar curvature of Kähler metrics as a moment map, to a hyperkähler reduction. O…