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The Rees algebra of a positive normal affine semigroup ring
Authors:Attila Wiebe
Affiliation:1. FB Mathematik, Universit?t Duisburg-Essen, Campus Essen, 45117, Essen, Germany
Abstract:
Let R be a positive normal affine semigroup ring of dimension d and let MediaObjects/s00229-005-615-9flb1.gif be the maximal homogeneous ideal of R. We show that the integral closure MediaObjects/s00229-005-615-9flb2.gif of MediaObjects/s00229-005-615-9flb3.gif is equal to MediaObjects/s00229-005-615-9flb4.gif for all n ∈ℕ with nd − 2. From this we derive that the Rees algebra R[MediaObjects/s00229-005-615-9flb1.gift] is normal in case that d ≤ 3. If emb dim(R) = d + 1, we can give a necessary and sufficient condition for R[MediaObjects/s00229-005-615-9flb1.gift] to be normal.
Keywords:
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