17 citations · 66 across the 12 of their papers we have counts for
12 papers
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…
Localised analytic torsion and relative analytic torsion for non compact Lie groups of type I
A. Della Vedova, M. Spreafico
Let be a (non compact) connected simply connected locally compact second countable Lie group, either abelian or unimodular of type I, and an irreducible unitary representat…
Special homogeneous almost complex structures on symplectic manifolds
Alberto Della Vedova
Homogeneous compatible almost complex structures on symplectic manifolds are studied, focusing on those which are special, meaning that their Chern-Ricci form is a multiple of the…
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…
Deformations of non semisimple Poisson pencils of hydrodynamic type
Alberto Della Vedova, Paolo Lorenzoni, Andrea Savoldi
We study deformations of two-component non semisimple Poisson pencils of hydrodynamic type associated with Balinski\vı-Novikov algebras. We show that in most cases the second order…
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…
Scalar curvature and asymptotic Chow stability of projective bundles and blowups
Alberto Della Vedova, Fabio Zuddas
The holomorphic invariants introduced by Futaki as obstruction to the asymptotic Chow semistability are studied by an algebraic-geometric point of view and are shown to be the Mumf…
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…
On the K-stability of complete intersections in polarized manifolds
Claudio Arezzo, Alberto Della Vedova
We consider the problem of existence of constant scalar curvature Kaehler metrics on complete intersections of sections of vector bundles. In particular we give general formulas re…
The Soliton Equations associated with the Affine Kac-Moody Lie Algebra G_2^{(1)}
Paolo Casati, Alberto Della Vedova, Giovanni Ortenzi
We construct in an explict way the soliton equation corresponding to the affine Kac--Moody Lie algebra together with their bihamiltonian structure. Moreover the Riccati…
Moment maps and equivariant volumes
Alberto Della Vedova, Roberto Paoletti
The study of the volume of big line bundles on a complex projective manifold M has been one of the main veins in the recent interest in the asymptotic properties of linear series.…