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NormalToricVariety _ List -- Create toric cycles

Synopsis

Operator: _
Usage:

X_L
Inputs:
- X, a normal toric variety,
- L, a list,

Description

Create a toric cycle directly from the toric variety

i1 : rayList={{1,0},{0,1},{-1,-1},{0,-1}}

o1 = {{1, 0}, {0, 1}, {-1, -1}, {0, -1}}

o1 : List

i2 : coneList={{0,1},{1,2},{2,3},{3,0}}

o2 = {{0, 1}, {1, 2}, {2, 3}, {3, 0}}

o2 : List

i3 : X = normalToricVariety(rayList,coneList)

o3 = X

o3 : NormalToricVariety

i4 : X_{1}

o4 = X
      {1}

o4 : ToricCycle on X

i5 : X_{0,2}

o5 = X
      {0, 2}

o5 : ToricCycle on X

i6 : 2 * X_{2} - X_{3}

o6 = 2*X    - X
        {2}    {3}

o6 : ToricCycle on X

See also

ToricCycle + ToricCycle -- perform arithmetic on toric cycles

Ways to use this method:

NormalToricVariety _ List -- Create toric cycles