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The Rees algebra of a positive normal affine semigroup ring

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Let R be a positive normal affine semigroup ring of dimension d and let be the maximal homogeneous ideal of R. We show that the integral closure of is equal to for all n ∈ℕ with n ≥ d − 2. From this we derive that the Rees algebra R[ t] is normal in case that d ≤ 3. If emb dim(R) = d + 1, we can give a necessary and sufficient condition for R[ t] to be normal.

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

    Attila Wiebe

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  1. Attila Wiebe
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Wiebe, A. The Rees algebra of a positive normal affine semigroup ring. manuscripta math. 120, 27–38 (2006). https://doi.org/10.1007/s00229-005-0615-9

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  • DOI: https://doi.org/10.1007/s00229-005-0615-9

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