## Tokyo Journal of Mathematics

### Equations Defining Recursive Extensions as Set Theoretic Complete Intersections

#### 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.

#### Article information

Source
Tokyo J. Math., Volume 38, Number 1 (2015), 273-282.

Dates
First available in Project Euclid: 21 July 2015

https://projecteuclid.org/euclid.tjm/1437506249

Digital Object Identifier
doi:10.3836/tjm/1437506249

Mathematical Reviews number (MathSciNet)
MR3374626

Zentralblatt MATH identifier
1348.14113

#### Citation

NHAN, Tran Hoai Ngoc; ŞAHİN, Mesut. Equations Defining Recursive Extensions as Set Theoretic Complete Intersections. Tokyo J. Math. 38 (2015), no. 1, 273--282. doi:10.3836/tjm/1437506249. https://projecteuclid.org/euclid.tjm/1437506249

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