Lelong classes on toric manifolds and a theorem of Siciak

• Autorzy: Maritza M. Branker , Małgorzata Stawiska
• Języki publikacji: EN

Abstrakty

EN

We generalize a theorem of Siciak on the polynomial approximation of the Lelong class to the setting of toric manifolds with an ample line bundle. We also characterize Lelong classes by means of a growth condition on toric manifolds with an ample line bundle and construct an example of a nonample line bundle for which Siciak's theorem does not hold.

Kategorie tematyczne

• 32L05: Holomorphic bundles and generalizations
• 14M25: Toric varieties, Newton polyhedra
• 32U05: Plurisubharmonic functions and generalizations

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Annales Polonici Mathematici
• Rocznik: 2012
• Tom: 106
• Numer: 1
• Strony: 97-105

Daty

wydano

2012

Twórcy

autor

Maritza M. Branker

• Department of Mathematics, Niagara University, Niagara, NY 14109, U.S.A.

autor

Małgorzata Stawiska

• Mathematical Reviews, 416 Fourth St., Ann Arbor, MI 48103, U.S.A.

Identyfikatory

DOI

10.4064/ap106-0-7