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arXiv · 1802.01442

A Parameter Version of Forstneri\v{c}'s Splitting Lemma

Lars Simon
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Abstract

We construct solution operators to the $\overline{\partial}$-equation that depend continuously on the domain. This is applied to derive a parameter version of Forstneri\v{c}'s splitting lemma: If both the maps and the domains they are defined on vary continuously with a parameter, then the maps obtained from Forstneri\v{c}'s splitting will depend continuously on the parameter as well.

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Lars Simon. 2018-02-05. A Parameter Version of Forstneri\v{c}'s Splitting Lemma. https://arxiv.org/abs/1802.01442

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