Photo-crosslinkable cosmetic composition, in particular for coating a nail or a false nail, and more particularly for making up a nail or a false nail, comprising, in a physiologically acceptable medium: - at least one photo-crosslinkable compound a) comprising at least one photo-crosslinkable compound corresponding to formula below: in which: - R 1, R 2 and R 3, which may be identical or different, represent a hydrogen atom or a C 1 -C 10, preferably C 1, alkyl group, R 1 preferably being a methyl, R 2 and R 3 preferably being a hydrogen atom, - n representing an integer between 1 and 10, preferably equal to 2, - the bond between α and β of the carbonyloxy is a single bond or a double bond or is a bond included in a (hetero)cycle comprising from 5 to 7 carbon atoms, preferably comprising 6 carbon atoms, which (hetero)cycle may be aromatic or non-aromatic, preferably aromatic, more preferentially an aryl, such as a phenyl. - at least one photo-crosslinkable compound b) corresponding to formula below: in which: - R 1, R 2, R 3, R 4, R 5, and R 6, which may be identical or different, represent a hydrogen atom or a C 1 -C 10 alkyl chain, preferably a hydrogen atom or a methyl group - k and I, which may be identical or different, are between 1 and 10, preferably equal to 2, - m is between 1 and 100, preferably between 5 and 50, preferably between approximately 8 and 10, - n is between 1 and 10, preferably equal to 1, - X and Y, which may be identical or different, represent a C 1 -C 20 alkyl or cycloalkyl group. - at least one photo-crosslinkable compound c) corresponding to formula below: in which: - R 1, R 2, R 3 and R 4, which may be identical or different, represent a hydrogen atom or a C 1 -C 10 alkyl chain, preferably a hydrogen atom or a methyl group, - j is between 1 and 10, preferably equal to 2, - A represents a C 1 -C 10 alkyl group, or a polyurethane comprising from 2 to 20 carbamate units. - at least one photo-crosslinkable compound a) comprising at least one photo-crosslinkable compound corresponding to formula below: in which: - R 1, R 2 and R 3, which may be identical or different, represent a hydrogen atom or a C 1 -C 10, preferably C 1, alkyl group, R 1 preferably being a methyl, R 2 and R 3 preferably being a hydrogen atom, - n representing an integer between 1 and 10, preferably equal to 2, - the bond between α and β of the carbonyloxy is a single bond or a double bond or is a bond included in a (hetero)cycle comprising from 5 to 7 carbon atoms, preferably comprising 6 carbon atoms, which (hetero)cycle may be aromatic or non-aromatic, preferably aromatic, more preferentially an aryl, such as a phenyl. - R 1, R 2 and R 3, which may be identical or different, represent a hydrogen atom or a C 1 -C 10, preferably C 1, alkyl group, R 1 preferably being a methyl, R 2 and R 3 preferably being a hydrogen atom, - n representing an integer between 1 and 10, preferably equal to 2, - the bond between α and β of the carbonyloxy is a single bond or a double bond or is a bond included in a (hetero)cycle comprising from 5 to 7 carbon atoms, preferably comprising 6 carbon atoms, which (hetero)cycle may be aromatic or non-aromatic, preferably aromatic, more preferentially an aryl, such as a phenyl. - at least one photo-crosslinkable compound b) corresponding to formula below: in which: - R 1, R 2, R 3, R 4, R 5, and R 6, which may be identical or different, represent a hydrogen atom or a C 1 -C 10 alkyl chain, preferably a hydrogen atom or a methyl group - k and I, which may be identical or different, are between 1 and 10, preferably equal to 2, - m is between 1 and 100, preferably between 5 and 50, preferably between approximately 8 and 10, - n is between 1 and 10, preferably equal to 1, - X and Y, which may be identical or different, represent a C 1 -C 20 alkyl or cycloalkyl group. - R 1, R 2, R 3, R 4, R 5, and R 6, which may be identical or different, represent a hydrogen atom or a C 1 -C 10 alkyl chain, preferably a hydrogen atom or a methyl group - k and I, which may be identical or different, are between 1 and 10, preferably equal to 2, - m is between 1 and 100, preferably between 5 and 50, preferably between approximately 8 and 10, - n is between 1 and 10, preferably equal to 1, - X and Y, which may be identical or different, represent a C 1 -C 20 alkyl or cycloalkyl group. - at least one photo-crosslinkable compound c) corresponding to formula below: in which: - R 1, R 2, R 3 and R 4, which may be identical or different, represent a hydrogen atom or a C 1 -C 10 alkyl chain, preferably a hydrogen atom or a methyl group, - j is between 1 and 10, preferably equal to 2, - A represents a C 1 -C 10 alkyl group, or a polyurethane comprising from 2 to 20 carbamate units. - R 1, R 2, R 3 and R 4, which may be identical or different, represent a hydrogen atom or a C 1 -C 10 alkyl chain, preferably a hydrogen atom or a methyl group, - j is between 1 and 10, preferably equal to 2, - A represents a C 1 -C 10 alkyl group, or a polyurethane comprising from 2 to 20 carbamate units.