The present disclosure is directed, in part, to a curable composition, a method for augmenting a structure in a patient with a resorbable biocompatible polymer, and a biodegradable, resorbable implant comprising a biocompatible copolymer. An exemplary embodiment of the curable composition comprises (a) 60 wt.% to 95 wt.% of one or more vinyl ester monomers and/or vinylcarbonate monomers, wherein said one or more vinyl ester monomers and/or vinylcarbonate monomers are respectively selected from compounds of the general formulas (I) and (II) below: wherein n, m R 1 and R 2 have the meaning defined herein (b) 0.1 to 40 wt.% of one or more multifun ctional thiols and (c) 0 to 10 wt.% of a biocompatible polymerization initiator.
