$L^2$ extension of adjoint line bundle sections

Dano Kim

paper

$L^{2}$ extension of adjoint line bundle sections

arXiv:0802.3189

Abstract

We prove an $L^{2}$ extension theorem of Ohsawa-Takegoshi type for extending holomorphic sections of line bundles from a subvariety which is given as a maximal log-canonical center of a pair and is of general codimension in a projective variety. Our method of proof indicates that such a setting is the most natural one in a sense, for general $L^{2}$ extension of line bundle sections.

39 pages

References in corpus (1)

Extension of log pluricanonical forms from subvarieties

L2 extension of adjoint line bundle sections

Abstract

References in corpus (1)

$L^{2}$ extension of adjoint line bundle sections