Biodegradable polyesteramides as defined in the specification obtained by reacting a mixture consisting essentially of(a1) from 95 to 99.9% by weight of a polyesteramide,(a2) from 0.1 to 5% by weight of a divinyl ether, and(a3) from 0 to 5 mol % of compound D as defined in the specification, and other biodegradable polymers and thermoplastic molding compositions, processes for the preparation thereof, the use thereof for producing biodegradable moldings, and adhesives, biodegradable moldings obtained from the polymers and molding compositions according to the invention.