Statements (12)
Predicate | Object |
---|---|
gptkbp:instanceOf |
gptkb:mathematical_concept
|
gptkbp:appliesTo |
complex projective varieties
|
gptkbp:concerns |
gptkb:Lefschetz_pencils
topology of algebraic varieties |
gptkbp:field |
gptkb:algebraic_geometry
|
https://www.w3.org/2000/01/rdf-schema#label |
Lefschetz pencil theorem
|
gptkbp:introducedIn |
20th century
|
gptkbp:namedAfter |
gptkb:Solomon_Lefschetz
|
gptkbp:relatedTo |
gptkb:Lefschetz_hyperplane_theorem
|
gptkbp:state |
the topology of a smooth projective variety can be studied via the topology of its hyperplane sections
|
gptkbp:bfsParent |
gptkb:Lefschetz_theorem
|
gptkbp:bfsLayer |
6
|