Statements (18)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:application |
decomposition of varieties
studying the topology of algebraic varieties |
| gptkbp:category |
gptkb:topology
|
| gptkbp:defines |
A Lefschetz pencil is a family of divisors on a smooth projective variety parameterized by the projective line, with certain singularities.
|
| gptkbp:field |
gptkb:algebraic_geometry
|
| gptkbp:generalizes |
linear system of divisors
|
| gptkbp:hasSingularities |
ordinary double points
|
| https://www.w3.org/2000/01/rdf-schema#label |
Lefschetz pencils
|
| gptkbp:introducedIn |
1920s
|
| gptkbp:namedAfter |
gptkb:Solomon_Lefschetz
|
| gptkbp:relatedTo |
gptkb:Morse_theory
gptkb:Lefschetz_fibration |
| gptkbp:usedBy |
Donaldson's theory of symplectic manifolds
|
| gptkbp:usedIn |
gptkb:topology
study of complex algebraic varieties |
| gptkbp:bfsParent |
gptkb:Lefschetz_pencil_theorem
|
| gptkbp:bfsLayer |
7
|