Nonaqueous coating material composition comprising at least one polyhydroxyl group-containing compound, at least one polyisocyanate group-containing compound having free or blocked isocyanate groups and at least one catalyst based on a zinc-amidine complex which is preparable by reacting one or more zinc biscarboxylates with an amidine of the formula or with a mixture of two or more amidines of the formula where R 5 = hydrogen and R 1, R 2, R 3, and R 4 are each identical or different radicals, with R 1 and R 3 being hydrogen or an alkyl radical or an aryl radical, and R 2 and R 4 being an alkyl radical or an aryl radical, characterized in that component has at least one structural unit of the formula -NR-(X-SiR' 'x(OR')3-x), and/or at least one structural unit of the formula -N(X-SiR"x(OR')3-x)n(X'-SiR"y(OR')3-y)m, where R = alkyl, cycloalkyl, aryl or aralkyl, it being possible for the carbon chain to be interrupted by nonadjacent oxygen, sulfur or NRa groups, where Ra = alkyl, cycloalkyl, aryl or aralkyl, R' = hydrogen, alkyl or cycloalkyl, it being possible for the carbon chain to be interrupted by nonadjacent oxygen, sulfur or NRa groups, where Ra = alkyl, cycloalkyl, aryl or aralkyl, preferably R' = ethyl and/or methyl, X, X' = linear and/or branched alkylene or cycloalkylene radical having 1 to 20 carbon atoms, preferably X, X' = alkylene radical having 1 to 4 carbon atoms, R" = alkyl, cycloalkyl, aryl, or aralkyl, it being possible for the carbon chain to be interrupted by nonadjacent oxygen, sulfur or NRa groups, where Ra = alkyl, cycloalkyl, aryl or aralkyl, preferably R" = alkyl radical, more particularly having 1 to 6 C atoms, n = 0 to 2, m = 0 to 2, m+n = 2, and x, y = 0 to 2, and in that the coating material composition comprises at least one monomeric aromatic optionally substituted carboxylic acid whose carboxyl group is in conjugation with a π-electron system. at least one polyhydroxyl group-containing compound, at least one polyisocyanate group-containing compound having free or blocked isocyanate groups and at least one catalyst based on a zinc-amidine complex which is preparable by reacting one or more zinc biscarboxylates with an amidine of the formula or with a mixture of two or more amidines of the formula where R 5 = hydrogen and R 1, R 2, R 3, and R 4 are each identical or different radicals, with R 1 and R 3 being hydrogen or an alkyl radical or an aryl radical, and R 2 and R 4 being an alkyl radical or an aryl radical, characterized in that component has at least one structural unit of the formula -NR-(X-SiR' 'x(OR')3-x), and/or at least one structural unit of the formula -N(X-SiR"x(OR')3-x)n(X'-SiR"y(OR')3-y)m, where R = alkyl, cycloalkyl, aryl or aralkyl, it being possible for the carbon chain to be interrupted by nonadjacent oxygen, sulfur or NRa groups, where Ra = alkyl, cycloalkyl, aryl or aralkyl, R' = hydrogen, alkyl or cycloalkyl, it being possible for the carbon chain to be interrupted by nonadjacent oxygen, sulfur or NRa groups, where Ra = alkyl, cycloalkyl, aryl or aralkyl, preferably R' = ethyl and/or methyl, X, X' = linear and/or branched alkylene or cycloalkylene radical having 1 to 20 carbon atoms, preferably X, X' = alkylene radical having 1 to 4 carbon atoms, R" = alkyl, cycloalkyl, aryl, or aralkyl, it being possible for the carbon chain to be interrupted by nonadjacent oxygen, sulfur or NRa groups, where Ra = alkyl, cycloalkyl, aryl or aralkyl, preferably R" = alkyl radical, more particularly having 1 to 6 C atoms, n = 0 to 2, m = 0 to 2, m+n = 2, and x, y = 0 to 2, and in that the coating material composition comprises at least one monomeric aromatic optionally substituted carboxylic acid whose carboxyl group is in conjugation with a π-electron system.