Lefschetz hyperplane section theorem
GPTKB entity
Statements (13)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:appliesTo |
smooth projective varieties
|
| gptkbp:concerns |
cohomology of algebraic varieties
|
| gptkbp:field |
gptkb:algebraic_geometry
|
| https://www.w3.org/2000/01/rdf-schema#label |
Lefschetz hyperplane section theorem
|
| gptkbp:namedAfter |
gptkb:Solomon_Lefschetz
|
| gptkbp:relatedTo |
gptkb:Lefschetz_fixed-point_theorem
gptkb:Lefschetz_pencil |
| gptkbp:state |
the inclusion of a hyperplane section induces isomorphisms on homotopy groups up to a certain degree
|
| gptkbp:usedIn |
topology of algebraic varieties
|
| gptkbp:yearProposed |
1924
|
| gptkbp:bfsParent |
gptkb:Lefschetz_hyperplane_theorem
|
| gptkbp:bfsLayer |
6
|