The present application relates to a polycondensate that can be obtained by reaction:of polyol containing 3 to 6 hydroxyl groupsof non-aromatic, saturated or unsaturated monocarboxylic acidof aromatic monocarboxylic acid containing 7 to 11 carbon atoms andof polycarboxylic acid, saturated or unsaturated, or even aromatic, linear, branched and/or cyclic, containing at least 2 carboxyl groups COOH and/or a cyclic anhydride of such a polycarboxylic acid.The application also relates to a method of cosmetic treatment employing said composition, the polycondensate thus defined and a method of preparation of the polycondensate.
