On 2-stably isomorphic four-dimensional affine domains (Q1657976)
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scientific article; zbMATH DE number 6917490
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On 2-stably isomorphic four-dimensional affine domains |
scientific article; zbMATH DE number 6917490 |
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On 2-stably isomorphic four-dimensional affine domains (English)
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14 August 2018
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The author gives examples of four-dimensional semi-normal domains \(A\) and \(B\) which are finitely generated over the field \(\mathbb C\) (or \(\mathbb R\)) such that \(A[X,Y]=B[X,Y]\) but \(A[X]\not\cong B[X].\) The method is purely algebraic. The first examples of this type was given by \textit{Z. Jelonek} [Math. Ann. 344, No. 4, 769--778 (2009; Zbl 1178.14060)], (the examples of Z. Jelonek are smooth and they have dimension ten).
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stable isomorphism
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seminormal domain
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\(K\)-groups
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cancelation problem
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