Composition in the form of an inverse latex comprising for 100% of its mass: a) from 10% mass to 80% mass of a linear, branched or cross-linked polymer (P) of 2-methyl 2 - [(1-oxo 2) acid - propenyl) amino] 1-propanesulfonic acid (also called 2-acrylamido 2-methyl propanesulfonic acid), partially or totally salified, and optionally one or more monomers chosen from acrylic acid, methacrylic acid, itaconic acid, maleic acid, 3- methyl 3 - [(1-oxo 2-propenyl) amino] butanoic acid, the carboxylic function of said monomers being acidic, partially salified or fully salified, acrylamide, methacrylamide, diacetone acrylamide, N, N-dimethyl acrylamide, N-isopropyl acrylamide , N- [2-hydroxy-1,1-bis (hydroxymethyl) ethyl] propenamide [or tris (hydroxymethyl) acrylammidomethane or N-tris (hydroxymethyl) methyl acrylamide also called THAM] (2-hydroxy ethyl acrylate), acrylate (2,3-dihydroxypropyl), (2-hydroxy ethyl) methacrylate, (2,3-dihydroxypropyl) methacrylate or vinyl pyrrolidone； the chlorides, bromides or iodides of 2, N, N, N-tetramethyl 2 - [(1-oxo 2-propenyl) amino] propanamonium, of 2, N, N-trimethyl 2 - [(1-oxo 2-propenyl) amino] propanamonium, from N, N, N-trimethyl 2 - [(1-oxo-2-propenyl) oxy] ethanammonium, from N, N, N trimethyl 3 - [(1-oxo 2-propenyl) oxy] propanamonium, from N, N, N-trimethyl 2 - [(1-oxo-2-propenyl) amino] propanamonium, or diallyl dimethyl ammonium； b) from 5% mass to 10% mass of an emulsifying system (S1) of the water-in-oil (E / H) type, c) from 1% mass to 50% mass of water. d) from 5% mass to 50% mass of oil e) to 5% mass of an emulsifying system (S2) of the oil-in-water type (H / E) comprising at least one compound of formula (I): R3- ( C>； = O) - [O-CH2-CH (OH) -CH2] p-OH (I) in which R3 represents a linear or branched aliphatic radical containing 5 to 17 carbon atoms and p is a higher integer or equal to 3 and less than or equal to 20, it being understood that said oil-in-water (H / E) emulsifying system (S2) does not comprise poly (e
