Open Access
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


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.


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

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

Primary: 14M10
Secondary: 14H45 , 14M25

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

Vol.38 • No. 1 • June 2015
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