الهندسة الداخلية لليبشيتز للأورام السطحية المعقدة ذات التفردات غير المعزولة: تصنيف كامل

Let (X, 0) be a germ of a reduced and irreducible complex surface embedded in (Cᵏ, 0). In this paper, we give a complete invariant of the inner Lipschitz geometry of complex surface germs, extending the result of Birbrair--Neumann--Pichon BNP to the non-isolated case. This invariant is expressed in terms of numerical invariants associated with the coordinate functions f₁, , fₖ of the normalization map n: (X, 0) (X, 0) (Cᵏ, 0), together with the combinatorics of a suitable good resolution of (X, 0).