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Optimal $L^2$ extension of sections from subvarieties in weakly pseudoconvex manifolds (1909.08820v1)

Published 19 Sep 2019 in math.CV, math.AG, and math.DG

Abstract: In this paper, we obtain optimal $L2$ extension of holomorphic sections of a holomorphic vector bundle from subvarieties in weakly pseudoconvex K\"{a}hler manifolds. Moreover, in the case of line bundle the Hermitian metric is allowed to be singular.

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