A mixed multiplicity formula for complete ideals in dimensional rational singularities
Author:
Veronique Van Lierde
Journal:
Proc. Amer. Math. Soc. 138 (2010), 41974204
MSC (2010):
Primary 13B22, 13H15
Published electronically:
June 29, 2010
MathSciNet review:
2680046
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Abstract: Let be a 2dimensional rational singularity with algebraically closed residue field and for which the associated graded ring is an integrally closed domain. We use the work of Göhner on condition and the theory of degree functions developed by Rees and Sharp to give a very short and elementary proof of a formula for the (mixed) multiplicity of complete primary ideals in .
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Additional Information
Veronique Van Lierde
Affiliation:
School of Science and Engineering, Al Akhawayn University, Ifrane 53000, Morocco
Email:
v.lierde@aui.ma
DOI:
http://dx.doi.org/10.1090/S000299392010104550
Keywords:
Degree function,
quadratic transformation,
2dimensional rational singularity,
complete ideal,
mixed multiplicity
Received by editor(s):
April 18, 2009
Received by editor(s) in revised form:
February 20, 2010
Published electronically:
June 29, 2010
Communicated by:
Bernd Ulrich
Article copyright:
© Copyright 2010
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication.
