$L^2$ extension of adjoint line bundle sections

Details $L^2$ extension of adjoint line bundle sections $L^2$ extension of adjoint line bundle sections

2008-02-21

arxiv.org/abs/0802.3189v3

Mathematics

Algebraic Geometry

39 pages

Scientific paper

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.

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