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The equations of almost complete intersections

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Abstract

In this paper we inject four Hilbert functions in the determination of the defining equations of the Rees algebra of almost complete intersections of finite co-length. Because three of the corresponding modules are Artinian, some of these relationships are very effective, with the novel approach opening up tracks to the determination of the equations and also to processes of going from homologically defined sets of equations to higher degrees ones. While not specifically directed towards the extraction of elimination equations, it will show how some of these arise naturally.

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Author information

Authors and Affiliations

  1. Department of Mathematics, Southern Connecticut State University, 501 Crescent Street, New Haven, CT, 06515-1533, USA

    Jooyoun Hong

  2. Departamento de Matemática, Universidade Federal de Pernambuco, 50740-560, Recife, PE, Brazil

    Aron Simis

  3. Department of Mathematics, Rutgers University, 110 Frelinghuysen Road, Piscataway, NJ, 08854-8019, USA

    Wolmer V. Vasconcelos

Authors
  1. Jooyoun Hong
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  2. Aron Simis
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  3. Wolmer V. Vasconcelos
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Corresponding author

Correspondence to Jooyoun Hong.

Additional information

The second author is partially supported by CNPq, Brazil. The last author is partially supported by the NSF.

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Hong, J., Simis, A. & Vasconcelos, W.V. The equations of almost complete intersections. Bull Braz Math Soc, New Series 43, 171–199 (2012). https://doi.org/10.1007/s00574-012-0009-z

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  • DOI: https://doi.org/10.1007/s00574-012-0009-z

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