Branch points of Willmore surfaces (Q2371893)

In their earlier article ``Removability of point singularities of Willmore surfaces'' [Ann. Math. (2) 160, No. 1, 315--357 (2004; Zbl 1078.53007)] the authors studied unit-density point singularities of Willmore immersions in codimension 1 and proved that these are \(C^{1,u}\)-graphs locally at the origin for all \(\alpha< 1\). In this article the analysis is extended to the higher-density case.