Equations Defining Recursive Extensions as Set Theoretic Complete Intersections

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Tran Hoai Ngoc Nhan T. H. N. N., ŞAHİN M.

TOKYO JOURNAL OF MATHEMATICS, vol.38, no.1, pp.273-282, 2015 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 38 Issue: 1
  • Publication Date: 2015
  • Doi Number: 10.3836/tjm/1437506249
  • Journal Name: TOKYO JOURNAL OF MATHEMATICS
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.273-282
  • Hacettepe University Affiliated: Yes

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.