Ideal theoretic complete intersections in
Author:
Apostolos Thoma
Journal:
Proc. Amer. Math. Soc. 107 (1989), 341-345
MSC:
Primary 14M10
DOI:
https://doi.org/10.1090/S0002-9939-1989-0984817-6
MathSciNet review:
984817
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Abstract | References | Similar Articles | Additional Information
Abstract: We describe the monomial curves in (
algebraically closed field of characteristic zero) that are set theoretical complete intersections on two binomial surfaces. We prove that they are exactly those which are ideal theoretic complete intersections. Using that, we get explicitly all monomial curves that are ideal theoretic complete intersections and a minimal generating basis for their ideals.
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H. Bresinsky and B. Renschuch, Basisbestimmung Veronesecher Projektionsideale mit all-gemeiner Nullstelle
, Math. Nachr. 96 (1980), 257-269. MR 600813 (82i:14032)
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H. Bresinsky, P. Schenzel, and W. Vogel, On liaison, arithmetical Buchsbaum curves and monomial curves in
, J. Algebra (1984), 283-301. MR 732252 (85c:14031)
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A. Thoma, Monomial space curves in
as binomial set theoretic complete intersections, Proc. Amer. Math. Soc. (to appear). MR 976361 (90g:14033)
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Additional Information
DOI:
https://doi.org/10.1090/S0002-9939-1989-0984817-6
Keywords:
Monomial curves in projective -space,
binomial surfaces,
set-theoretic complete intersections,
ideal theoretic complete intersections,
minimal basis
Article copyright:
© Copyright 1989
American Mathematical Society