Tokyo Journal of Mathematics
- Tokyo J. Math.
- Volume 38, Number 1 (2015), 273-282.
Equations Defining Recursive Extensions as Set Theoretic Complete Intersections
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.
Tokyo J. Math., Volume 38, Number 1 (2015), 273-282.
First available in Project Euclid: 21 July 2015
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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