Bertini's smoothness theorem
GPTKB entity
Statements (13)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:appliesTo |
projective varieties
|
| gptkbp:assumes |
variety is smooth over algebraically closed field
|
| gptkbp:concerns |
smoothness of generic hyperplane sections
|
| gptkbp:field |
gptkb:algebraic_geometry
|
| https://www.w3.org/2000/01/rdf-schema#label |
Bertini's smoothness theorem
|
| gptkbp:implies |
generic hyperplane section is smooth
|
| gptkbp:namedAfter |
gptkb:Eugenio_Bertini
|
| gptkbp:publishedIn |
late 19th century
|
| gptkbp:relatedTo |
gptkb:Bertini's_theorem
|
| gptkbp:usedIn |
algebraic geometry proofs
|
| gptkbp:bfsParent |
gptkb:Bertini_theorem
|
| gptkbp:bfsLayer |
8
|