Lefschetz pencil

GPTKB entity

Statements (14)
Predicate Object
gptkbp:instanceOf gptkb:mathematical_concept
gptkbp:application decomposition of algebraic varieties
study of monodromy
topology of algebraic varieties
gptkbp:defines A family of divisors on an algebraic variety parameterized by the projective line, with certain singularities.
gptkbp:field gptkb:algebraic_geometry
https://www.w3.org/2000/01/rdf-schema#label Lefschetz pencil
gptkbp:namedAfter gptkb:Solomon_Lefschetz
gptkbp:property generic member is smooth
singular members have only ordinary double points
gptkbp:relatedTo gptkb:Lefschetz_fibration
gptkbp:usedIn study of algebraic surfaces
gptkbp:bfsParent gptkb:Solomon_Lefschetz
gptkbp:bfsLayer 5