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FlagBundle -- the class of all flag bundles

Functions and methods returning an abstract flag bundle:

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 Schubert2.m2:1857:0.