ANALYTIC DISCS, GLOBAL EXTREMAL FUNCTIONS AND PROJECTIVE HULLS IN PROJECTIVE SPACE

摘要

Using a recent result of Larusson and Poletsky regarding plurisubharmonic subextensions, we prove a disc formula for the quasiplurisubharmonic global extremal function for domains in P~n. As a corollary, we get a characterization of the projective hull for connected compact sets in P~n by the existence of analytic discs.