48 citations · 48 across the 4 of their papers we have counts for
6 papers · 1 filter
Blowing up Kähler manifolds with constant scalar curvature II
Claudio Arezzo, Frank Pacard
In this paper we continue our study about the existence of Kaehler metrics of constant scalar curvature (Kcsc) on blow ups at points of compact manifolds with Kcsc metrics started…
Blowing up and desingularizing constant scalar curvature Kähler manifolds
Claudio Arezzo, Frank Pacard
This paper is concerned with the existence of constant scalar curvature Kaehler metrics on blow ups at finitely many points of compact manifolds which already carry constant scalar…
Symmetries, Quotients and Kaehler-Einstein metrics
C. Arezzo, A. Ghigi, G. P. Pirola
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-Einst…
Infinite geodesic rays in the space of Kahler potentials
Claudio Arezzo, Gang Tian
In this paper we explore the connection between special degenerations of algebraic manifolds and geodesics in the space of Kahler metrics. We provide a new and general geometric co…
The Weierstrass representation for pluriminimal submanifolds
C. Arezzo, G. P. Pirola, M. Solci
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 pluriminima…
Complete embedded minimal n-submanifolds in C^n
Claudio Arezzo, Frank Pacard
In this paper we prove the existence of families of n-dimensional complete embedded minimal submanifolds of C^n with a prescribed configuration of k>1 asymptotic planes. These subm…