• Corpus ID: 233181579

On $L^2$ extension from singular hypersurfaces

  title={On \$L^2\$ extension from singular hypersurfaces},
  author={Dano Kim and Hoseob Seo},
In L extension theorems from a singular hypersurface in a complex manifold, some important roles are played by certain measures such as the Ohsawa measure which determine when a given function can be extended. In this paper, we show that the singularity of the Ohsawa measure can be identified in terms of algebraic geometry. Using this, we give an analytic proof of the inversion of adjunction in this setting. Then these considerations enable us to compare various positive and negative results on… 
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