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Deformations of arithmetically Cohen-Macaulay subvarieties of pn

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Abstract

We show that every arithmetically Cohen-Macaulay two-codimensional subscheme ofP n can be deformed to a reduced union of two-codimensional linear subvarieties. This problem (classical for curves with the name of Zeuthen problem) was solved for curves by F.Gaeta.

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Authors and Affiliations

  1. Dipartimento di Matematica e Fisica, Università di Camerino, I-62032, Camerino (Macerata), Italy

    Giorgio Bolondi

  2. Departament d'Algebra i Geometria Facultat de Matemàtiques, Universitat de Barcelona, 08007, Barcelona, Spain

    Rosa Maria Mirò-Roig

Authors
  1. Giorgio Bolondi
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  2. Rosa Maria Mirò-Roig
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Bolondi, G., Mirò-Roig, R.M. Deformations of arithmetically Cohen-Macaulay subvarieties of pn . Manuscripta Math 64, 205–211 (1989). https://doi.org/10.1007/BF01160119

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  • DOI: https://doi.org/10.1007/BF01160119

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