Quasiplurisubharmonic Green functions

Abstract

AbstractGiven a compact Kähler manifold X, a quasiplurisubharmonic function is called a Green function with pole at p∈X if its Monge–Ampère measure is supported at p. We study in this paper the existence and properties of such functions, in connection to their singularity at p. A full characterization is obtained in concrete cases, such as (multi)projective spaces