# generalizedSchubertVariety -- create a generalized Schubert variety

## Synopsis

• Usage:
Y = generalizedSchubertVariety(X,pt)
• Inputs:
• Outputs:
• Y, , the generalized Schubert variety corresponding to pt which is the union of all Bruhat cells corresponding to elements in X.points that are bigger than pt in the Bruhat order

## Description

This method creates a GKMVariety that represent a generalized Schubert variety of a generalized flag variety. The following example is the Schubert variety of projective lines in $\mathbb P^3$ meeting a distinguished point.

 i1 : X = generalizedSchubertVariety(generalizedFlagVariety("A",3,{2}),{set{0,3}}) o1 = a GKM variety with an action of a 4-dimensional torus o1 : GKMVariety

## Ways to use generalizedSchubertVariety :

• "generalizedSchubertVariety(GKMVariety,Thing)"

## For the programmer

The object generalizedSchubertVariety is .