February 9, 1927|
Ōbu, Aichi, Japan
|Died||August 27, 2008
|Alma mater||Nagoya University|
|Doctoral advisor||Tadasi Nakayama|
|Doctoral students||Shuzo Izumi
|Known for||Nagata ring
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 in three variables. Recent work has solved this latter problem in the affirmative.
Nagata's compactification theorem shows that varieties can be embedded in complete varieties.
- 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 0-88275-228-6
- I. P. Shestakov, & U. U. Umirbaev (2004) J. Am. Math. Soc. 17, 197–227.
- Maruyama, Masaki; Masayoshi Miyanishi, Shigefumi Mori, Tadao Oda (January 2009). "Masayoshi Nagata (1927–2008)" (PDF). Notices of the American Mathematical Society 56 (1): 58. Retrieved 2008-12-30.