  Little-Parks effect names the oscillations in the superconducting critical
temperature as a function of the magnetic field. This effect is related to the
geometry of the sample. In this work, we show that this effect can be enhanced
and manipulated by the inclusion of magnetic nanostructures with perpendicular
magnetization. These magnetic nanodots generate stray fields with enough
strength to produce superconducting vortex-antivortex pairs. So that, the L-P
effect deviation from the usual geometrical constrictions is due to the
interplay between local magnetic stray fields and superconducting vortices.
Moreover, we compare our results with a low-stray field sample (i.e. with the
dots in magnetic vortex state) showing how the enhancement of the L-P effect
can be explained by an increment of the effective size of the nanodots.
