We give an effective criterion for the identifiability of
additive decompositions of homogeneous forms of degree d in a fixed
number of variables. Asymptotically for large d it has the same order
of the Kruskal’s criterion adapted to symmetric tensors given by L.
Chiantini, G. Ottaviani and N. Vannieuwenhoven. We give a new case
of identifiability for d = 4.
