Abstract: A multilayer biaxially oriented, polyolefin film consisting of a base layer, at least one first intermediate layer and a first cover layer that is applied to said intermediate layer. The first intermediate layer is made of a terpolymer consisting of three different monomers (a), (b) and (c): whereby (a) is an olefin, (b) is an unsaturated carboxylic acid or esters thereof, and (c) is an unsaturated carboxylic acid or carboxylic acid ester, which is different from (b), or is a carboxylic acid anhydride. In addition, the first cover layer contains a copolymer, and a top layer comprising a copolymer of an olefin, and an unsaturated carboxylic acid or esters thereof, and the first cover layer additionally contains an additive.