Disc functionals and Siciak-Zaharyuta extremal functions on singular varieties

Details Disc functionals and Siciak-Zaharyuta extremal functions on singular varieties Disc functionals and Siciak-Zaharyuta extremal functions on singular varieties

2011-09-19

arxiv.org/abs/1109.3947v3

Mathematics

Complex Variables

Lemma 2.3 and new examples added; to appear in Ann. Polon. Math

Scientific paper

We establish plurisubharmonicity of envelopes of certain classical disc functionals on locally irreducible complex spaces, thereby generalizing the corresponding results for complex manifolds. We also find new formulae expressing the Siciak-Zaharyuta extremal function of an open set in a locally irreducible affine algebraic variety as the envelope of certain disc functionals, similarly to what has been done for open sets in C^n by Lempert and by Larusson and Sigurdsson.

Affiliated with

Also associated with

No associations

Rating

Disc functionals and Siciak-Zaharyuta extremal functions on singular varieties does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Disc functionals and Siciak-Zaharyuta extremal functions on singular varieties, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Disc functionals and Siciak-Zaharyuta extremal functions on singular varieties will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-96289