Equations defining recursive extensions as set theoretic complete intersections
Commutative Algebra
2015-12-09 v1 Algebraic Geometry
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 -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 polynomial explicit equations for the hypersurfaces cutting out the curve in question.
Cite
@article{arxiv.1512.02378,
title = {Equations defining recursive extensions as set theoretic complete intersections},
author = {Tran Hoai Ngoc Nhan and Mesut Şahin},
journal= {arXiv preprint arXiv:1512.02378},
year = {2015}
}