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ON GENERATORS OF THE SEMIGROUP OF A PLANE CURVE SINGULARITY

Published online by Cambridge University Press:  01 October 1999

A. CAMPILLO ,
F. DELGADO  and
S. M. GUSEIN-ZADE
A. CAMPILLO
Affiliation:
Department of Algebra, Geometría y Topología, Facultad de Ciencias, Universidad de Valladolid, 47005 Valladolid, Spain; [email protected], [email protected]
F. DELGADO
Affiliation:
Department of Algebra, Geometría y Topología, Facultad de Ciencias, Universidad de Valladolid, 47005 Valladolid, Spain; [email protected], [email protected]
S. M. GUSEIN-ZADE
Affiliation:
Department of Mathematics and Mechanics, Moscow State University, Moscow 119899, Russia; [email protected]
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Abstract

To a reduced plane curve singularity with r branches there is associated its semigroup, a subsemigroup of ℤr[ges ]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.

Type
Notes and Papers
Information
Journal of the London Mathematical Society , Volume 60 , Issue 2 , October 1999 , pp. 420 - 430
Copyright
The London Mathematical Society 1999

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