$N$-point Virasoro algebras considered as Krichever-Novikov type algebras

We explain how the recently again discussed $N$-point Witt, Virasoro, and affine Lie algebras are genus zero examples of the multi-point versions of Krichever--Novikov type algebras as introduced and studied earlier by me. Using this more general point of view, useful structural insights and an easier access to calculations can be obtained.