Abstract
Using a recent result of Lárusson and Poletsky regarding plurisubharmonic subextensions, we prove a disc formula for the quasiplurisubharmonic global extremal function for domains in $\mathbb{P}^{n}$. As a corollary, we get a characterization of the projective hull for connected compact sets in $\mathbb{P}^{n}$ by the existence of analytic discs.
Citation
Benedikt Steinar Magnússon. "Analytic discs, global extremal functions and projective hulls in projective space." Illinois J. Math. 58 (2) 391 - 404, Summer 2014. https://doi.org/10.1215/ijm/1436275490
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