17 citations · 66 across the 12 of their papers we have counts for
5 papers · 1 filter
Minimal hypersurfaces in Kaehler scalar flat ALE spaces
C. Arezzo, A. Della Vedova, Samreena
In this paper we give a new general method to describe all Kaehler scalar flat metrics on -invariant domains of C^n in a way to be able to detect easily whether it can be com…
On the curvature of conic Kaehler-Einstein metrics
Claudio Arezzo, Alberto Della Vedova, Gabriele La Nave
We prove a regularity result for Monge-Ampère equations degenerate along smooth divisor on Kaehler manifolds in Donaldson's spaces of -weighted functions. We apply this result t…
A note on Berezin-Toeplitz quantization of the Laplace operator
Alberto Della Vedova
Given a Hodge manifold, it is introduced a self-adjoint operator on the space of endomorphisms of the global holomorphic sections of the polarization line bundle. Such operator is…
Geometric flows and Kähler reduction
Claudio Arezzo, Alberto Della Vedova, Gabriele La Nave
We investigate how to obtain various flows of Kähler metrics on a fixed manifold as variations of Kähler reductions of a metric satisfying a given static equation on a higher dimen…
Singularities and K-semistability
C. Arezzo, A. Della Vedova, G. La Nave
In this paper we extend the notion of Futaki invariant to big and nef classes in such a way that it defines a continuous function on the \K\ cone up to the boundary. We apply this…