Nagata's compactification theorem
GPTKB entity
Statements (16)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:appliesTo |
gptkb:Noetherian_schemes
separated morphisms of finite type |
| gptkbp:field |
gptkb:algebraic_geometry
|
| gptkbp:generalizes |
Temkin's compactification theorem
|
| https://www.w3.org/2000/01/rdf-schema#label |
Nagata's compactification theorem
|
| gptkbp:implies |
existence of compactifications in algebraic geometry
|
| gptkbp:namedAfter |
gptkb:Masayoshi_Nagata
|
| gptkbp:publishedIn |
Nagata, M. (1962). Imbedding of an abstract variety in a complete variety. J. Math. Kyoto Univ.
|
| gptkbp:relatedTo |
gptkb:Zariski's_Main_Theorem
scheme theory compactification |
| gptkbp:state |
Every separated finite type scheme over a Noetherian scheme can be embedded as an open subscheme of a proper scheme.
|
| gptkbp:yearProved |
1962
|
| gptkbp:bfsParent |
gptkb:Masato_Nagata
|
| gptkbp:bfsLayer |
7
|