Add to ORKGWe 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 complex structure. The system comes from an infinite-dimensional Kaehler reduction, which is a hyperkaehler reduction for a particular choice of the spectral function. The system can be formally complexified using a flat connection on the space of first-order deformations that are compatible with a Kaehler metric. We describe a variational characterization of the equations, a Futaki invariant for the system, and a generalization of K-stability that is conjectured to characterize the existence of solutions to the system. We verify a particular case of this conjecture ...
Building on Donaldson's work on constant scalar curvature metrics, we study the space of regular Ka...
An important consequence of Yau's solution to Calabi's conjecture is the existence of a Kahler-Einst...
summary:This is a survey of recent contributions to the area of special K\"ahler geometry. A (pseudo...
In this paper we give an alternative (spinorial) proof of C. LeBrun's theorem starting that a comple...
by Tsang Yau Shing.Thesis (M.Phil.)--Chinese University of Hong Kong, 1995.Includes bibliographical ...
We derive necessary conditions for a complex projective structure on a complex surface to arise via ...
We associate to the resolved conifold an affine special K\"{a}hler (ASK) manifold of complex dimensi...
Given a Kaehler manifold polarised by a holomorphic ample line bundle, we consider the circle bundle...
We study equations on a principal bundle over a compact complex manifold coupling a connection on th...
In the first part of my talk, we consider special metrics on holomor-phic bundles. We will recall th...
On a compact Ka ̈hler manifold we introduce a cohomological obstruction to the solvability of the co...
On a compact Ka ̈hler manifold we introduce a cohomological obstruction to the solvability of the co...
In Chapter 1 we recall some basic notions of complex and K¨ahler geometry and we introduce some tec...
Given a (smoothable) projective nodal K\"ahler Calabi-Yau threefold, we show, via a gluing construct...
On a compact Ka ̈hler manifold we introduce a cohomological obstruction to the solvability of the co...
Building on Donaldson's work on constant scalar curvature metrics, we study the space of regular Ka...
An important consequence of Yau's solution to Calabi's conjecture is the existence of a Kahler-Einst...
summary:This is a survey of recent contributions to the area of special K\"ahler geometry. A (pseudo...
In this paper we give an alternative (spinorial) proof of C. LeBrun's theorem starting that a comple...
by Tsang Yau Shing.Thesis (M.Phil.)--Chinese University of Hong Kong, 1995.Includes bibliographical ...
We derive necessary conditions for a complex projective structure on a complex surface to arise via ...
We associate to the resolved conifold an affine special K\"{a}hler (ASK) manifold of complex dimensi...
Given a Kaehler manifold polarised by a holomorphic ample line bundle, we consider the circle bundle...
We study equations on a principal bundle over a compact complex manifold coupling a connection on th...
In the first part of my talk, we consider special metrics on holomor-phic bundles. We will recall th...
On a compact Ka ̈hler manifold we introduce a cohomological obstruction to the solvability of the co...
On a compact Ka ̈hler manifold we introduce a cohomological obstruction to the solvability of the co...
In Chapter 1 we recall some basic notions of complex and K¨ahler geometry and we introduce some tec...
Given a (smoothable) projective nodal K\"ahler Calabi-Yau threefold, we show, via a gluing construct...
On a compact Ka ̈hler manifold we introduce a cohomological obstruction to the solvability of the co...
Building on Donaldson's work on constant scalar curvature metrics, we study the space of regular Ka...
An important consequence of Yau's solution to Calabi's conjecture is the existence of a Kahler-Einst...
summary:This is a survey of recent contributions to the area of special K\"ahler geometry. A (pseudo...