Disc functionals and Siciak-Zaharyuta extremal functions on singular varieties

• Autorzy: Barbara Drinovec Drnovšek , Franc Forstnerič
• Języki publikacji: EN

Abstrakty

EN

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.

Kategorie tematyczne

• 32U35: Pluricomplex Green functions
• 32U05: Plurisubharmonic functions and generalizations

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Annales Polonici Mathematici
• Rocznik: 2012
• Tom: 106
• Numer: 1
• Strony: 171-191

Daty

wydano

2012

Twórcy

autor

Barbara Drinovec Drnovšek

• Faculty of Mathematics and Physics, University of Ljubljana, Institute of Mathematics, Physics and Mechanics, Jadranska 19, 1000 Ljubljana, Slovenia

autor

Franc Forstnerič

• Faculty of Mathematics and Physics, University of Ljubljana, Institute of Mathematics, Physics and Mechanics, Jadranska 19, 1000 Ljubljana, Slovenia

Identyfikatory

DOI

10.4064/ap106-0-13