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Disc functionals and Siciak-Zaharyuta extremal functions on singular varieties

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Drinovec Drnovšek B., Forstnerič F.

Annales Polonici Mathematici

2012

tom 106

nr 1

171-191

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 ℂⁿ by Lempert and by Lárusson and Sigurdsson.

Ograniczanie wyników

1 Annales Polonici Mathematici

1 Drinovec Drnovšek B.

1 Forstnerič F.

1 2012

Wyniki wyszukiwania

Disc functionals and Siciak-Zaharyuta extremal functions on singular varieties