A counterexample to the fourteenth problem of Hilbert in dimension four (Q1887580)
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scientific article; zbMATH DE number 2117259
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A counterexample to the fourteenth problem of Hilbert in dimension four |
scientific article; zbMATH DE number 2117259 |
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A counterexample to the fourteenth problem of Hilbert in dimension four (English)
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22 November 2004
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From the author's abstract: This paper presents a family of new counterexamples to Hilbert's fourteenth problem. They are realized as subfields of the rational function field of four variables over a field of characteristic zero of transcendence degree three. It was previously not known whether any counterexample could be found as a subfield of a rational function field of four variables, or whether counterexamples with minimal transcendence degree three could exist.
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Hilbert's fourteenth problem
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rational function field
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transcendence degree
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