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Rational Normal Curves as Set-Theoretic Complete Intersections of Quadrics

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Computer Algebra and Polynomials

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 8942))

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Abstract

In the first part of this paper we present a short survey on the problem of the representation of rational normal curves as set-theoretic complete intersections. In the second part we use a method, introduced by Robbiano and Valla, to prove that the rational normal quartic is set-theoretically complete intersection of quadrics: it is an original proof of a classical result of Perron, and Gallarati-Rollero.

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Acknowledgements

I would like to thank Prof. D. Gallarati for bringing my attention to his paper [6], a joint work with Prof. A. Rollero, allowing me to write these notes. I deeply thank Prof. L. Robbiano and Prof. M. C. Beltrametti for numerous helpful discussions on the topic.

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Authors and Affiliations

  1. Dipartimento di Matematica, Università di Genova, Via Dodecaneso 35, 16146, Genova, Italy

    Maria-Laura Torrente

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  1. Maria-Laura Torrente
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Correspondence to Maria-Laura Torrente .

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Editors and Affiliations

  1. University of Cantabria, Santander, Spain

    Jaime Gutierrez

  2. Ricam Linz, Linz, Austria

    Josef Schicho

  3. University of Caen, Caen, France

    Martin Weimann

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Torrente, ML. (2015). Rational Normal Curves as Set-Theoretic Complete Intersections of Quadrics. In: Gutierrez, J., Schicho, J., Weimann, M. (eds) Computer Algebra and Polynomials. Lecture Notes in Computer Science(), vol 8942. Springer, Cham. https://doi.org/10.1007/978-3-319-15081-9_12

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  • DOI: https://doi.org/10.1007/978-3-319-15081-9_12

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-15080-2

  • Online ISBN: 978-3-319-15081-9

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