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

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.

arXiv comment15 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

Cited by in corpus (1)

• Bertotti-Robinson solutions in five--dimensional quadratic gravity