Coating a curable composition containing a fluorine-containing hyperbranched polymers

A excellent surface properties such as fingerprint resistance while excellent in solvent wiping resistant, generally under a nitrogen atmosphere is used or curable composition for forming a hard coat layer by ultraviolet irradiation in an air atmosphere It is provided. And (a) a monomer having two or more radically polymerizable double bond in the molecule A, and a monomer B having a fluoroalkyl group and at least one radically polymerizable double bond in the molecule, with respect to the number of moles of the monomers a, consisting of 5 to 200 mol% of the polymerization initiator fluorinated hyperbranched polymer obtained by polymerizing in the presence of C, (b) perfluoropolyether compounds and silicone compounds at least one surface modifier selected from the group, (c) the active energy ray-curable polyfunctional monomer, and (d) coating a curable composition containing a polymerization initiator that generates radicals by active energy rays, the composition hard coat film obtained using the cured film as well as the composition obtained from the object. .BACKGROUND