Illinois Journal of Mathematics

Analytic discs, global extremal functions and projective hulls in projective space

Benedikt Steinar Magnússon

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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.

Article information

Illinois J. Math., Volume 58, Number 2 (2014), 391-404.

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

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Mathematical Reviews number (MathSciNet)

Zentralblatt MATH identifier

Primary: 32U05: Plurisubharmonic functions and generalizations [See also 31C10] 32U15: General pluripotential theory 32E99: None of the above, but in this section


Magnússon, Benedikt Steinar. Analytic discs, global extremal functions and projective hulls in projective space. Illinois J. Math. 58 (2014), no. 2, 391--404. doi:10.1215/ijm/1436275490.

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