Given a compact Kahler manifold X, a quasiplurisubharmonic function is called a Green function with pole at p in X if its Monge-Ampere 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 obtainedin concrete cases, such as (multi)projective spaces.
Coman, Dan and Guedj, Vincent, "Quasiplurisubharmonic Green Functions" (2009). Mathematics - Faculty Scholarship. 21.
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