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Cohen-Macaulay Criteria for Projective Monomial Curves via Gröbner Bases

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Abstract

We prove new characterizations based on Gröbner bases for the Cohen-Macaulay property of a projective monomial curve.

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Acknowledgements

We gratefully acknowledge the use of the Singular [8] software for our computations.

Funding

Dumitru Stamate was supported by the University of Bucharest, Faculty of Mathematics and Computer Science, through the 2017 Mobility Fund.

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Authors and Affiliations

  1. Fachbereich Mathematik, Universität Duisburg-Essen, Campus Essen, 45117, Essen, Germany

    Jürgen Herzog

  2. Faculty of Mathematics and Computer Science, University of Bucharest, Str. Academiei 14, Bucharest, 010014, Romania

    Dumitru I. Stamate

Authors
  1. Jürgen Herzog
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  2. Dumitru I. Stamate
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Correspondence to Jürgen Herzog.

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Herzog, J., Stamate, D.I. Cohen-Macaulay Criteria for Projective Monomial Curves via Gröbner Bases. Acta Math Vietnam 44, 51–64 (2019). https://doi.org/10.1007/s40306-018-00302-5

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  • DOI: https://doi.org/10.1007/s40306-018-00302-5

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