Lelong classes on toric manifolds and a theorem of Siciak
Volume 106 / 2012
Annales Polonici Mathematici 106 (2012), 97-105
MSC: Primary 32U05; Secondary 32L05, 14M25.
DOI: 10.4064/ap106-0-7
Abstract
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.
