  Singularities of the Poynting vector field at resonant light scattering by
nanoparticles are discussed and classified. It is shown that there are two
generic types of them, namely (i) the singularities related to the vanishing of
the magnetic (and/or electric) field at the singular points and (ii) the
singularities related to the formation of standing waves in the proximity of
the singular points. The connection of these types of singularities to the
topology of the singular points and the space dimension (3D vs. 2D) is
revealed.
