Holder estimates for the \(\bar\partial\)-equation on surfaces with simple singularities
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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| Published in | arXiv.org |
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| Main Authors | , |
| Format | Paper |
| Language | English |
| Published |
Ithaca
Cornell University Library, arXiv.org
20.07.2006
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| Online Access | Get full text |
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| Summary: | 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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| ISSN: | 2331-8422 |