Producing set-theoretic complete intersection monomial curves in ℙⁿ

Şahi̇n, Mesut

doi:10.1090/S0002-9939-08-09653-6

Producing set-theoretic complete intersection monomial curves in $\mathbb {P}^n$
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by Mesut Şahi̇n

Proc. Amer. Math. Soc. 137 (2009), 1223-1233

DOI: https://doi.org/10.1090/S0002-9939-08-09653-6

Published electronically: October 16, 2008

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Abstract:

In this paper we describe an algorithm for producing infinitely many examples of set-theoretic complete intersection monomial curves in $\mathbb {P}^{n+1}$, starting with a single set-theoretic complete intersection monomial curve in $\mathbb {P}^{n}$. Moreover we investigate the numerical criteria to decide when these monomial curves can or cannot be obtained via semigroup gluing.

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