An ampleness criterion with the extendability of singular positive metrics

作者：Matsumura Shin ichi^*

来源：Mathematische Zeitschrift, 2013, 273(1-2): 43-54.

DOI：10.1007/s00209-012-0995-y

• Psh functions
• Singular metrics
• Currents
• Ample line bundles

Coman, Guedj and Zeriahi proved that, for an ample line bundle L on a projective manifold X, any singular positive metric on the line bundle L| (V) along a subvariety can be extended to a global singular positive metric on L. In this paper, we prove that the extendability of singular positive metrics on a line bundle along a subvariety implies the ampleness of the line bundle.

• 出版日期2013-2