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June 2015 Equations Defining Recursive Extensions as Set Theoretic Complete Intersections
Tran Hoai Ngoc NHAN, Mesut ŞAHİN
Tokyo J. Math. 38(1): 273-282 (June 2015). DOI: 10.3836/tjm/1437506249

Abstract

Based on the fact that projective monomial curves in the plane are complete intersections, we give an effective inductive method for creating infinitely many monomial curves in the projective $n$-space that are set theoretic complete intersections. We illustrate our main result by giving different infinite families of examples. Our proof is constructive and provides one binomial and $(n-2)$ polynomial explicit equations for the hypersurfaces cutting out the curve in question.

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Tran Hoai Ngoc NHAN. Mesut ŞAHİN. "Equations Defining Recursive Extensions as Set Theoretic Complete Intersections." Tokyo J. Math. 38 (1) 273 - 282, June 2015. https://doi.org/10.3836/tjm/1437506249

Information

Published: June 2015
First available in Project Euclid: 21 July 2015

zbMATH: 1348.14113
MathSciNet: MR3374626
Digital Object Identifier: 10.3836/tjm/1437506249

Subjects:
Primary: 14M10
Secondary: 14H45, 14M25

Rights: Copyright © 2015 Publication Committee for the Tokyo Journal of Mathematics

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Vol.38 • No. 1 • June 2015
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