Abstract: The invention relates to a hydroxylic acrylate copolymer which contains a proportion of copolymerized monomers having at least 2 double bonds, and to the process for the preparation of the acrylate copolymer. The invention also relates to coating agents which contain acid-curable binders, organic solvents and, if appropriate, pigments, fillers and conventional assistants and additives and which contain, as the essential binder, the hydroxylic acrylate copolymer and an alkylated melamine/formaldehyde resin. The invention also relates to coating agents which, as the essential binders, contain the hydroxylic acrylate copolymer in one or more different polyfunctional isocyanates.