Optimal $L^2$ extension of sections from subvarieties in weakly pseudoconvex manifolds

preprint2019arXivOpen access

In this paper, we obtain optimal $L^2$ extension of holomorphic sections of a holomorphic vector bundle from subvarieties in weakly pseudoconvex Kähler manifolds. Moreover, in the case of line bundle the Hermitian metric is allowed to be singular.

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Optimal $L^2$ extension of sections from subvarieties in weakly pseudoconvex manifolds

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Optimal $L^2$ extension of sections from subvarieties in weakly pseudoconvex manifolds