Statements (13)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:appliesTo |
schemes
|
| gptkbp:concerns |
gptkb:Hilbert_polynomial
flatness projective morphism |
| gptkbp:field |
gptkb:algebraic_geometry
|
| gptkbp:namedAfter |
gptkb:Michel_Raynaud
|
| gptkbp:publicationYear |
1970s
|
| gptkbp:publishedIn |
gptkb:Annales_scientifiques_de_l'École_Normale_Supérieure
|
| gptkbp:sentence |
A projective morphism of schemes is flat if and only if all fibers have the same Hilbert polynomial.
|
| gptkbp:bfsParent |
gptkb:Michel_Raynaud
|
| gptkbp:bfsLayer |
6
|
| https://www.w3.org/2000/01/rdf-schema#label |
Raynaud's theorem
|