Hostname: page-component-7c8c6479df-ph5wq Total loading time: 0 Render date: 2024-03-28T11:31:51.843Z Has data issue: false hasContentIssue false

ON GENERATORS OF THE SEMIGROUP OF A PLANE CURVE SINGULARITY

Published online by Cambridge University Press:  01 October 1999

A. CAMPILLO
Affiliation:
Department of Algebra, Geometría y Topología, Facultad de Ciencias, Universidad de Valladolid, 47005 Valladolid, Spain; campillo@agt.uva.es, fdelgado@agt.uva.es
F. DELGADO
Affiliation:
Department of Algebra, Geometría y Topología, Facultad de Ciencias, Universidad de Valladolid, 47005 Valladolid, Spain; campillo@agt.uva.es, fdelgado@agt.uva.es
S. M. GUSEIN-ZADE
Affiliation:
Department of Mathematics and Mechanics, Moscow State University, Moscow 119899, Russia; sabir@ium.ips.ras.ru
Get access

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
Copyright
The London Mathematical Society 1999

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)