Masayoshi Nagata

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Masayoshi Nagata (Japanese: 永田 雅宜 Nagata Masayoshi; born 1927 in Aichi, Japan) is a Japanese mathematician, known for his work in the field of commutative algebra.

In 1959 he brought forward a counterexample to the general case of Hilbert's fourteenth problem on invariant theory.

One of his students at Kyoto University was Shigefumi Mori.

Nagata's conjecture on curves concerns the minimum degree of a plane curve specified to have given multiplicities at given points; see also Seshadri constant. Nagata's conjecture on automorphisms concerns the existence of wild automorphisms of polynomial algebras. Recent work has apparently solved this latter problem (I. P. Shestakov, & U. U. Umirbaev (2004) J. Am. Math. Soc. 17, 197–227).

[edit] Publications

  • Nagata, Masayoshi Local rings. Interscience Tracts in Pure and Applied Mathematics, No. 13 Interscience Publishers a division of John Wiley & Sons,New York-London 1962, reprinted by R. E. Krieger Pub. Co (1975) ISBN 0882752286
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