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Ohsawa-Takegoshi extension theorem for compact Kähler manifolds and applications

Published 28 Apr 2014 in math.AG | (1404.6937v2)

Abstract: Our main goal in this article is to prove a new extension theorem for sections of the canonical bundle of a weakly pseudoconvex K\"ahler manifold with values in a line bundle endowed with a possibly singular metric. We also give some applications of our result.

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