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Summer 2014 Analytic discs, global extremal functions and projective hulls in projective space
Benedikt Steinar Magnússon
Illinois J. Math. 58(2): 391-404 (Summer 2014). DOI: 10.1215/ijm/1436275490

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

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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

Information

Received: 30 May 2013; Revised: 28 January 2015; Published: Summer 2014
First available in Project Euclid: 7 July 2015

zbMATH: 1329.32017
MathSciNet: MR3367655
Digital Object Identifier: 10.1215/ijm/1436275490

Subjects:
Primary: 32E99, 32U05, 32U15

Rights: Copyright © 2014 University of Illinois at Urbana-Champaign

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Vol.58 • No. 2 • Summer 2014
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