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On the Rees algebra of certain codimension two perfect ideals

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Abstract.

 Suppose ? is a set of arbitrary number of smooth points in ℙ2 its defining ideal. In this paper, we study the Rees algebras of the ideals generated by I t , t ≥α. When the points of ? are general, we give a set of defining equations for the Rees algebra . When the points of ? are arbitrary, we show that for all t≫ 0, the Rees algebra is Cohen-Macaulay and its defining ideal is generated by quadratics. A cohomological characterization for arithmetic Cohen-Macaulayness of subvarieties of a product space is also given.

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Authors and Affiliations

  1. Institute of Mathematics, P.O. Box 631, Bò Hô, Hà Nôi 10000, Vietnam. e-mail: tai@hanimath.ac.vn or haht@mast.queensu.ca, , , , , , VN

    Hà Huy Tài

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  1. Hà Huy Tài
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Received 4 April 2001

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Tài, H. On the Rees algebra of certain codimension two perfect ideals. Manuscripta Math. 107, 479–501 (2002). https://doi.org/10.1007/s002290200247

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  • DOI: https://doi.org/10.1007/s002290200247

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