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

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/115054Let $Σ$ 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.11 pagesComplex VariablesAnalysis of PDEs32F20, 32W05, 35N15Holder estimates for the $\bar\partial$-equation on surfaces with simple singularitiestext