On the Ohsawa–Takegoshi Extension Theorem

Titelangaben

Cao, Junyan ; Paun, Mihai ; Berndtsson, Bo:
On the Ohsawa–Takegoshi Extension Theorem.
In: The Journal of Geometric Analysis. Bd. 34 (2024) . - 25.
ISSN 1559-002X
DOI: https://doi.org/10.1007/s12220-023-01466-9

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Abstract

We establish a new extension result for twisted canonical forms defined on a hypersurface with simple normal crossings of a projective manifold. Some of the examples presented in the appendix show that the bounds we obtain for the extension are sharp.