Analytic Discs, Global Extremal Functions and Projective Hulls in Projective Space

2013/04/05 by Magnusson, Benedikt Steinar
#32E99) #32U05 (32U15 #Complex Variables (math.CV) #FOS: Mathematics

paper · doi:10.48550/arxiv.1304.1704

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 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.

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