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Holder estimates for the $\bar\partial$-equation on surfaces with simple singularities

F. Acosta·E. S. Zeron
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Abstract

Let $Σ$ be a 2-dimensional subvariety in $C^3$ with an isolated simple (rational double point) singularity at the origin. The main objective of this paper is to solve the $\dbar$-equation on a neighbourhood of the origin in $Σ$, demanding a Holder condition on the solution.

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F. Acosta, E. S. Zeron. 2006-07-20. Holder estimates for the $\bar\partial$-equation on surfaces with simple singularities. https://arxiv.org/abs/math/0607502

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