Analytic inversion of adjunction: L^2 extension theorems with gain
By Jeffery D. McNeal, Dror Varolin. 2006
76 citations recorded by the source corpus.
We establish new results on weighted $L^2$ extension of holomorphic top forms with values in a holomorphic line bundle, from a smooth hypersurface cut out by a holomorphic function. The weights we use are determined by certain functions that we call denominators. We give a collection of examples of these denominators related to the divisor defined by the submanifold.
View Paper: https://www.semanticscholar.org/paper/492ef0f885df5ea2d29a83641e05e716bfe9e9a0
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Citations in the corpus
- Burniat surfaces I: fundamental groups and moduli of primary Burniat surfaces (2009, methodology): “We will equally need the following version of the Ohsawa-Takegoshi theorem (see [6], [ 22 ], [25], [34]) ; it will be our main technical tool in the proof of the claim.”
- Bergman kernels and the pseudoeffectivity of relative canonical bundles (2007, unknown): “We refer to [34], [35] and [ 24 ] for the details concerning the regularization process.”