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.
Here you can share your comments or contribute with more information, content, resources or links about this topic.