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schubertIntersect -- compute the intersection of ASM ideals

Synopsis

• Usage:
schubertIntersect L
• Inputs:
• L, a list, of ASMs or permutations in 1-line notation
• Outputs:

Description

Given a list of ASMs or permutations in 1-line notation, compute the intersection of the corresponding Schubert determinantal ideals.

 i1 : schubertIntersect {{3,2,1,4}, {2,1,4,3}} 2 o1 = ideal (z , z z z z - z z z z - z z z + 1,1 1,3 2,1 2,2 3,1 1,2 2,1 2,3 3,1 1,3 2,1 3,2 ------------------------------------------------------------------------ 2 2 z z z , z z z z - z z z - z z z z + 1,2 2,1 3,3 1,2 1,3 2,2 3,1 1,2 2,3 3,1 1,2 1,3 2,1 3,2 ------------------------------------------------------------------------ 2 z z z ) 1,2 2,1 3,3 o1 : Ideal of QQ[z ..z ] 1,1 4,4 i2 : schubertIntersect {matrix {{0,1,0},{1,-1,1},{0,1,0}}, {3,2,1}} o2 = ideal (z , z z ) 1,1 1,2 2,1 o2 : Ideal of QQ[z ..z ] 1,1 3,3

Ways to use schubertIntersect :

• schubertIntersect(List)

For the programmer

The object schubertIntersect is .