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Points :: affineFatPointsByIntersection

affineFatPointsByIntersection -- computes ideal of fat points by intersecting powers of maximal ideals

Synopsis

Description

This function computes the ideal of a finite set of fat points by intersecting powers of the maximal ideals of each point.

i1 : R = QQ[x,y]

o1 = R

o1 : PolynomialRing
i2 : M = transpose matrix{{0,0},{1,1}}

o2 = | 0 1 |
     | 0 1 |

              2        2
o2 : Matrix ZZ  <--- ZZ
i3 : mults = {3,2}

o3 = {3, 2}

o3 : List
i4 : affineFatPointsByIntersection(M,mults,R)

       2        2    3   3       2     3     3    4      2    3   5     4  
o4 = {x y - 2x*y  + y , x  - 3x*y  + 2y , x*y  - y  - x*y  + y , y  - 2y  +
     ------------------------------------------------------------------------
      3
     y }

o4 : List

See also

Ways to use affineFatPointsByIntersection :

For the programmer

The object affineFatPointsByIntersection is a method function.