A+ CATEGORY SCIENTIFIC UNIT

Lelong classes on toric manifolds and a theorem of Siciak

Volume 106 / 2012

Maritza M. Branker, Małgorzata Stawiska 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.

Authors

  • Maritza M. BrankerDepartment of Mathematics
    Niagara University
    Niagara, NY 14109, U.S.A.
    e-mail
  • Małgorzata StawiskaMathematical Reviews
    416 Fourth St.
    Ann Arbor, MI 48103, U.S.A.
    e-mail

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