Quasiplurisubharmonic Green functions
Abstract
Given a compact K\"ahler manifold X, a quasiplurisubharmonic function is called a Green function with pole at p∈ X if its Monge-Amp\`ere 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.
0