Hilbert's Fourteenth Problem (Q2736241)

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scientific article; zbMATH DE number 1638527
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Hilbert's Fourteenth Problem
scientific article; zbMATH DE number 1638527

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    29 August 2001
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    Hilbert's 14th problem
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    Hilbert's Fourteenth Problem (English)
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    Problem XIV is concerned with the theory of invariants, then an important part of mathematics. In its literal wording the problem was solved (negatively) by \textit{M. Nagata} in 1966 [Actas Coloq. Int. Geom. Algebr., Madrid 1965, 107-121 (1966; Zbl 0142.28701), see also Am. J. Math. 81, 766-772 (1959; Zbl 0192.13801)] but its other value has consisted in stimulating other problems and relevant research. The problem presents a bird's eye view upon the history of the theory of invariants, Problem XIV itself, and its influence upon the field.NEWLINENEWLINEFor the entire collection see [Zbl 0902.00028].
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