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

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

2006-07-20

arxiv.org/abs/math/0607502v2

Mathematics

Complex Variables

11 pages

Scientific paper

Let $\Sigma$ 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
$\Sigma$, demanding a Holder condition on the solution.

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