1 citations · 1 across the 3 of their papers we have counts for
7 papers
A K-energy functional for complexified Kähler classes
Carlo Scarpa
The K-energy functional is extended to complexified Kähler classes, providing a variational approach to study the scalar curvature equation with B-field introduced by Schlitzer and…
Special representatives of complexified Kähler classes
Carlo Scarpa, Jacopo Stoppa
Motivated by constructions appearing in mirror symmetry, we study special representatives of complexified Kähler classes, which extend the notions of constant scalar curvature and…
Scalar curvature and deformations of complex structures
Carlo Scarpa
We study a system of equations on a compact complex manifold, that couples the scalar curvature of a Kaehler metric with a spectral function of a first-order deformation of the com…
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…
The HcscK equations in symplectic coordinates
Carlo Scarpa, Jacopo Stoppa
The Donaldson-Fujiki Kähler reduction of the space of compatible almost complex structures, leading to the interpretation of the scalar curvature of Kähler metrics as a moment map,…
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…
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…