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Negative / Null Result ReportOpen accessMathematics

On $L^2$ extension from singular hypersurfaces

Dano Kim; Hoseob Seo · 2021 · arXiv

WASTE classifies this as Negative / Null Result Report · AI classification, approximate

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Abstract (excerpt)

In $L^2$ extension theorems from a singular hypersurface in a complex manifold, important roles are played by certain measures such as the Ohsawa measure which determine when a given function can be extended. We show that the singularity of the Ohsawa measure can be identified in terms of singularity of pairs from 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 $L^2$ extension from singular hypersurfaces. In particular, we generalize a recent negativ

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Metadata source: arXiv