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arXiv · 1110.2373

$L^2$-theory for the $\bar{\partial}$-operator on complex spaces with isolated singularities

Jean Ruppenthal
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Abstract

We present a refined, improved $L^2$-theory for the $\bar{\partial}$-operator for $(0,q)$ and $(n,q)$-forms on Hermitian complex spaces of pure dimension $n$ with isolated singularities. The general philosophy is to use a resolution of singularities to obtain a regular model of the $L^2$-cohomology.

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Jean Ruppenthal. 2015-02-23. $L^2$-theory for the $\bar{\partial}$-operator on complex spaces with isolated singularities. https://arxiv.org/abs/1110.2373

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