On generators of the semigroup of a plane curve singularity

To a reduced plane curve singularity with r branches there is associated it s semigroup, a subsemigroup of Z(greater than or equal to0)(r). For an irre ducible curve singularity, the description of its semigroup in terms of its set of generators is well known. For a reducible curve there exists a comb inatorial description of the semigroup. The semigroup of a plane curve sing ularity with several branches is described in terms of the minimal set of g enerators constructed in a natural geometric way.