The Rees algebra of a positive normal affine semigroup ring |
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Authors: | Attila Wiebe |
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Affiliation: | 1. FB Mathematik, Universit?t Duisburg-Essen, Campus Essen, 45117, Essen, Germany
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Abstract: | ![]() 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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