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Holder estimates for the ∂-equation on surfaces with simple singularities

F. Acosta, E. S. Zeron

math.CVarXiv:math/0607502

Abstract

Let Σ be a 2-dimensional subvariety in C3 with an isolated simple (rational double point) singularity at the origin. The main objective of this paper is to solve the -equation on a neighbourhood of the origin in Σ, demanding a Holder condition on the solution.

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