Compositions comprising A) from 62 to 96% by weight of at least one polymer selected from the group consisting of linear aromatic polycarbonate and linear aromatic polyester carbonate, B) from 1 to 15% by weight of at least one graft polymer produced by emulsion polymerization from B.1) from 5 to 95% by weight, based on B, of a mixture of B.1.1) from 50 to 99% by weight, based on B.1, of at least one monomer selected from the group of the vinylaromatics, ring-substituted vinylaromatics and C1-C8-alkyl acrylates and mixtures of these compounds and B.1.2) from 1 to 50% by weight, based on B.1, of at least one monomer selected from the group of the vinyl cyanides, C1-C8-alkyl acrylates, unsaturated carboxylic acids and derivatives of unsaturated carboxylic acids B.2) from 5 to 95% by weight, based on B, of a rubber-containing graft base comprising a diene rubber or comprising a copolymer of a diene rubber with another copolymerizable monomer, C) from 0 to 5.8% by weight of rubber-free vinyl (co)polymer, D) from 1 to 20% by weight of at least one phosphorus-containing flame retardant of the general formula in which R1, R2, R3 and R4, mutually independently respectively denote optionally halogenated C1 to C8-alkyl, respectively optionally alkyl-substituted C5 to C6-cycloalkyl, C6 to C20-aryl or C7 to C12-aralkyl, n mutually independently denotes 0 or 1 q denotes integral values from 1 to 30 X denotes a polynuclear aromatic moiety having from 13 to 30 C atoms which can optionally have substituent halogen groups and/or substituent alkyl groups, E) from 0.8 to 4.0% by weight of a mineral filler based on talc with a d 50 particle size from 0.2 to 10 μm, F) from 0.1 to 20.0% by weight of at least one polymer additive, where the compositions comprise no graft polymer produced by bulk polymerization. A) from 62 to 96% by weight of at least one polymer selected from the group consisting of linear aromatic polycarbonate and linear aromatic polyester carbonate, B) from 1 to 15% by weight of at least one graft polymer produced by emulsion polymerization from B.1) from 5 to 95% by weight, based on B, of a mixture of B.1.1) from 50 to 99% by weight, based on B.1, of at least one monomer selected from the group of the vinylaromatics, ring-substituted vinylaromatics and C1-C8-alkyl acrylates and mixtures of these compounds and B.1.2) from 1 to 50% by weight, based on B.1, of at least one monomer selected from the group of the vinyl cyanides, C1-C8-alkyl acrylates, unsaturated carboxylic acids and derivatives of unsaturated carboxylic acids B.2) from 5 to 95% by weight, based on B, of a rubber-containing graft base comprising a diene rubber or comprising a copolymer of a diene rubber with another copolymerizable monomer, B.1) from 5 to 95% by weight, based on B, of a mixture of B.1.1) from 50 to 99% by weight, based on B.1, of at least one monomer selected from the group of the vinylaromatics, ring-substituted vinylaromatics and C1-C8-alkyl acrylates and mixtures of these compounds and B.1.2) from 1 to 50% by weight, based on B.1, of at least one monomer selected from the group of the vinyl cyanides, C1-C8-alkyl acrylates, unsaturated carboxylic acids and derivatives of unsaturated carboxylic acids B.1.1) from 50 to 99% by weight, based on B.1, of at least one monomer selected from the group of the vinylaromatics, ring-substituted vinylaromatics and C1-C8-alkyl acrylates and mixtures of these compounds and B.1.2) from 1 to 50% by weight, based on B.1, of at least one monomer selected from the group of the vinyl cyanides, C1-C8-alkyl acrylates, unsaturated carboxylic acids and derivatives of unsaturated carboxylic acids B.2) from 5 to 95% by weight, based on B, of a rubber-containing graft base comprising a diene rubber or comprising a copolymer of a diene rubber with another copolymerizable monomer, C) from 0 to 5.8% by weight of rubber-free vinyl (co)polymer, D) from 1 to 20% by weight of at least one phosphorus-containing flame retardant of the general formula in which R1, R2, R3 and R4, mutually independently respectively denote optionally halogenated C1 to C8-alkyl, respectively optionally alkyl-substituted C5 to C6-cycloalkyl, C6 to C20-aryl or C7 to C12-aralkyl, n mutually independently denotes 0 or 1 q denotes integral values from 1 to 30 X denotes a polynuclear aromatic moiety having from 13 to 30 C atoms which can optionally have substituent halogen groups and/or substituent alkyl groups, R1, R2, R3 and R4, mutually independently respectively denote optionally halogenated C1 to C8-alkyl, respectively optionally alkyl-substituted C5 to C6-cycloalkyl, C6 to C20-aryl or C7 to C12-aralkyl, n mutually independently denotes 0 or 1 q denotes integral values from 1 to 30 X denotes a polynuclear aromatic moiety having from 13 to 30 C atoms which can optionally have substituent halogen groups and/or substituent alkyl groups, E) from 0.8 to 4.0% by weight of a mineral filler based on talc with a d 50 particle size from 0.2 to 10 μm, F) from 0.1 to 20.0% by weight of at least one polymer additive,