2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/150136Algebraic curve branches can be classified according to their multiplicity sequences. Arf's solution to this problem using Arf closures and possible implementations of Henselization are discussed.LaTeX 2.09, 15 pages, to appear in Note di MatematicaAlgebraic GeometryCommutative Algebra14H20, 13Htext