FlagBundle -- the class of all flag bundles

Functions and methods returning an abstract flag bundle:

• abstractProjectiveSpace -- make a projective space
• abstractProjectiveSpace' -- make a projective space
• flagBundle -- make a flag bundle
• projectiveBundle -- make a projective bundle from an abstract sheaf
• projectiveBundle' -- make a projective bundle from an abstract sheaf

Methods that use an abstract flag bundle:

• bundles(FlagBundle) -- see bundles -- get the list of tautological line bundles on a flag bundle
• incidenceCorrespondence(FlagBundle,FlagBundle) -- see incidenceCorrespondence -- build containment correspondence between two Grassmannians
• map(FlagBundle,AbstractVariety,AbstractSheaf) -- maps to projective bundles
• map(FlagBundle,AbstractVariety,List) -- see map(FlagBundle,AbstractVarietyMap,List) -- make a map from an abstract variety to a flag bundle
• map(FlagBundle,AbstractVarietyMap,List) -- make a map from an abstract variety to a flag bundle
• map(FlagBundle,FlagBundle) -- forgetful maps of flag varieties
• schubertCycle(List,FlagBundle) -- see schubertCycle -- compute Schubert Cycles on a Grassmannian, Fulton-style
• schubertCycle(Sequence,FlagBundle) -- see schubertCycle -- compute Schubert Cycles on a Grassmannian, Fulton-style
• FlagBundle _ List -- see schubertCycle' -- compute Schubert Cycles on a Grassmannian, Grothendieck-style
• FlagBundle _ Sequence -- see schubertCycle' -- compute Schubert Cycles on a Grassmannian, Grothendieck-style
• schubertCycle'(List,FlagBundle) -- see schubertCycle' -- compute Schubert Cycles on a Grassmannian, Grothendieck-style
• schubertCycle'(Sequence,FlagBundle) -- see schubertCycle' -- compute Schubert Cycles on a Grassmannian, Grothendieck-style
• schubertRing(FlagBundle) -- see schubertRing -- get the Schubert ring of a Grassmannian
• tautologicalLineBundle(FlagBundle) -- see tautologicalLineBundle -- get the tautological line bundle of a flag bundle or abstract variety

For the programmer

The object FlagBundle is a type, with ancestor classes AbstractVariety < MutableHashTable < HashTable < Thing.

The source of this document is in /__w/M2/M2/macaulay2-1.26.05+ds/M2/Macaulay2/packages/Schubert2.m2:1857:0.