On generators of the semigroup of a plane curve singularity
A Campillo, F Delgado… - Journal of the London …, 1999 - Wiley Online Library
A Campillo, F Delgado, SM Gusein‐Zade
Journal of the London Mathematical Society, 1999•Wiley Online LibraryTo a reduced plane curve singularity with r branches there is associated its semigroup, a
subsemigroup of Zr⩾ 0. For an irreducible curve singularity, the description of its semigroup
in terms of its set of generators is well known. For a reducible curve there exists a
combinatorial description of the semigroup. The semigroup of a plane curve singularity with
several branches is described in terms of the minimal set of generators constructed in a
natural geometric way.
subsemigroup of Zr⩾ 0. For an irreducible curve singularity, the description of its semigroup
in terms of its set of generators is well known. For a reducible curve there exists a
combinatorial description of the semigroup. The semigroup of a plane curve singularity with
several branches is described in terms of the minimal set of generators constructed in a
natural geometric way.
To a reduced plane curve singularity with r branches there is associated its semigroup, a subsemigroup of Zr⩾0. For an irreducible curve singularity, the description of its semigroup in terms of its set of generators is well known. For a reducible curve there exists a combinatorial description of the semigroup. The semigroup of a plane curve singularity with several branches is described in terms of the minimal set of generators constructed in a natural geometric way.
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