The present invention relates to the use of a cyclic carboxylic polyanhydride A, the cyclic carboxylic polyanhydride A comprising at least two cyclic carboxylic anhydride groups, and not comprising a linear carboxylic anhydride function, as a crosslinking agent for a
polyester of
glycerol and of an aliphatic carboxylic diacid or diester
monomer, so as to increase the bioresorbability and / or degradation in
aqueous medium of a
polyester of
glycerol and of a crosslinked aliphatic carboxylic diacid or diester
monomer, in particular compared to a
polyester of
glycerol and of a thermally crosslinked aliphatic carboxylic diacid or diester
monomer in the absence of a crosslinking agent, and advantageously in the absence of cyclic carboxylic polyanhydride A.