Bases and Ideal Generators for Projective Monomial Curves

In this article we study bases for projective monomial curves and the relationship between the basis and the set of generators for the defining ideal of the curve. We understand this relationship best for curves in ℙ 3 and for curves defined by an arithmetic progression. We are able to prove that th...

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Bibliographic Details
Published in:Communications in algebra 2012-01, Vol.40 (1), p.173-191
Main Authors: Li, Ping, Patil, D. P., Roberts, Leslie G.
Format: Article
Language:English
Subjects:
Arithmetic progression
Ideal generators
Primary 14H50
Projective monomial curve
Semigroup
Set-theoretic complete intersection
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Summary:In this article we study bases for projective monomial curves and the relationship between the basis and the set of generators for the defining ideal of the curve. We understand this relationship best for curves in ℙ 3 and for curves defined by an arithmetic progression. We are able to prove that the latter are set theoretic complete intersections.
ISSN:0092-7872
1532-4125
DOI:10.1080/00927872.2010.526678