The invention relates to a crosslinkable one-component laminating adhesive containing 25 to 80 wt. % of polyester prepolymers, polyether prepolymers and/or polyurethane prepolymers, which have at least two cross-linkable alkoxysilane groups and have a molecular weight of 2000 to 30,000 g/mol, 75 to 19 wt. % of organic solvent having a boiling point up to 130° C., 1 to 20 wt. % of polymers which contain anhydride groups, and 0 to 15 wt. % of additives, wherein the viscosity of the adhesive is between 50 and 20,000 mPas (according to DIN ISO 2555), measured at 15 to 45° C.