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Certain monomial curves are set-theoretic complete intersections

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Abstract

LetK be a field and letm 0,...,m e −1 be a sequence of positive integers. LetC be the monomial curve in the affinee-space\(\mathbb{A}_K^e\) defined parametrically by\(X_0 = T^{m_0 } ,...,X_{e - 1} = T^{m_{e - 1} }\). If somee−1 terms ofm 0,...,m e −1 form an arithmetic sequence thenC is a set-theoretic complete intersection.

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  1. School of Mathematics, Tata Institute of Fundamental Research, Homi Bhabha Road, 400 005, Bombay, India

    Dilip P. Patil

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  1. Dilip P. Patil
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Patil, D.P. Certain monomial curves are set-theoretic complete intersections. Manuscripta Math 68, 399–404 (1990). https://doi.org/10.1007/BF02568773

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  • DOI: https://doi.org/10.1007/BF02568773

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