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We show that the presence of a localized curvilinear defect drasticallychanges magnetic properties of a thin perpendicularly magnetized ferromagneticfilm. For a large enough defect amplitude a discrete set of equilibriummagnetization states appears forming a ladder of energy levels. Eachequilibrium state has either zero or unit topological charge, i.e.topologically trivial and skyrmion multiplets generally appear. Transitionsbetween the levels with the same topological charge are allowed and can beutilized to encode and switch a bit of information. There is a wide range ofgeometrical and material parameters, where the skyrmion level has the lowestenergy. As a result, periodically arranged curvilinear defects generate askyrmion lattice as the ground state.

Multiplet of skyrmion states on a curvilinear defect: skyrmion lattices as a ground state