Analytic Discs, Global Extremal Functions and Projective Hulls in Projective Space
Complex Variables
2013-05-22 v2
Abstract
Using a recent result of L\'arusson and Poletsky regarding plurisubharmonic subextensions we prove a disc formula for the quasiplurisubharmonic global extremal function for domains in complex projective space. As a corollary we get a characterization of the projective hull for connected compact sets in complex projective space by the existence of analytic discs.
Cite
@article{arxiv.1304.1704,
title = {Analytic Discs, Global Extremal Functions and Projective Hulls in Projective Space},
author = {Benedikt Steinar Magnusson},
journal= {arXiv preprint arXiv:1304.1704},
year = {2013}
}
Comments
15 pages, v2: added a section (4.1) with comparison of Theorem 4.5 and the characterization of the projective hull by Drnovsek and Forstneric [1], and fixed some minor errors