Singularities, test configurations and constant scalar curvature Kaehler metrics (2009)
Arezzo, C., Della Vedova, A., La Nave, G.
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 Kaehler cone up to the boundary. We apply this concept to...
Extremal metrics on blow ups (2006)
Arezzo, C., Pacard, F., Singer, M.
Given a compact Kahler manifold with an extremal metric (M,\omega), we give sufficient conditions on finite sets points p_1,...,p_n and weights a_1,...a_n for which the blow up of M at p_1,...,p_n...
Symmetries, Quotients and Kaehler-Einstein metrics (2004)
Arezzo, C., Ghigi, A., Pirola, G. P.
We consider Fano manifolds M that admit a collection of finite automorphism groups G_1, ..., G_k, such that the quotients M/G_i are smooth Fano manifolds possessing a Kaehler-Einstein metric. Under...
The Weierstrass representation for pluriminimal submanifolds (2001)
Arezzo, C., Pirola, G. P., Solci, M.
In this note we prove a Weierstrass representation formula for pluriminimal submanifolds of euclidean spaces. We use this formula to produce new families of examples of pluriminimal submanifolds. We...