$L^2$ extension of $\bar\partial$-closed forms on weakly pseudoconvex K\"ahler manifolds

Jian Chen; Sheng Rao

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arXiv · 2009.14101

$L^2$ extension of $\bar\partial$-closed forms on weakly pseudoconvex K\"ahler manifolds

Jian Chen·Sheng Rao

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Abstract

Combining V. Koziarz's observation about the regularity of some modified section related to the initial extension with J. McNeal--D. Varolin's regularity argument, we generalize two theorems of McNeal--Varolin for the $L^2$ extension of $\bar\partial$-closed high-degree forms on a Stein manifold to the weakly pseudoconvex K\"ahler case under mixed positivity conditions.

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BibTeX RIS

Jian Chen, Sheng Rao. 2020-09-29. $L^2$ extension of $\bar\partial$-closed forms on weakly pseudoconvex K\"ahler manifolds. https://arxiv.org/abs/2009.14101

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