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We show that a free surface in $P^3$ is characterized by the maximality ofthe degree of its singular subscheme, in the presence of an additional tamenesscondition. This is similar to the characterization of free plane curves by themaximality of their global Tjurina number given by A. A. du Plessis and C.T.C.Wall. Simple characterizations of the nearly free tame surfaces are also given.

Freeness versus maximal degree of the singular subscheme for surfaces in $P^3$