Lelong classes on toric manifolds and a theorem of Siciak

@article{MaritzaM2012,
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.},
author = {Maritza M. Branker, Małgorzata Stawiska},
journal = {Annales Polonici Mathematici},
keywords = {plurisubharmonic functions; Lelong class; toric varieties},
language = {eng},
number = {1},
pages = {97-105},
title = {Lelong classes on toric manifolds and a theorem of Siciak},
url = {http://eudml.org/doc/280609},
volume = {106},
year = {2012},
}

TY - JOUR
AU - Maritza M. Branker
AU - Małgorzata Stawiska
TI - Lelong classes on toric manifolds and a theorem of Siciak
JO - Annales Polonici Mathematici
PY - 2012
VL - 106
IS - 1
SP - 97
EP - 105
AB - 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.
LA - eng
KW - plurisubharmonic functions; Lelong class; toric varieties
UR - http://eudml.org/doc/280609
ER -