English

Analytic inversion of adjunction: L^2 extension theorems with gain

Complex Variables 2007-05-23 v1

Abstract

We establish new results on weighted L2L^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.

Keywords

Cite

@article{arxiv.math/0607322,
  title  = {Analytic inversion of adjunction: L^2 extension theorems with gain},
  author = {Jeffery D. McNeal and Dror Varolin},
  journal= {arXiv preprint arXiv:math/0607322},
  year   = {2007}
}

Comments

To Appear in Ann. Inst. Fourier

R2 v1 2026-07-22T17:38:57.270Z