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SpaceCurves :: curve

curve -- generates a random curve

Description

The method curve generates a random curve with given input.

Synopsis

  • Usage:
    C = curve(D)
  • Inputs:
    • D, an instance of the type Divisor
  • Outputs:
    • C, an instance of the type Curve 
i1 : X = quadricSurface(ZZ/101[x_0..x_3]);
 
i2 : D = divisor({1,2},X);
 
i3 : C = curve D

                                   2                              2   2      2              2                                 2
o3 = ideal (x x  - x x , x x  + 49x  + 24x x  + 3x x  + 5x x  + 5x , x  + 23x  + 24x x  + 5x  + 39x x  - 46x x  - 38x x  - 43x )
             1 2    0 3   0 1      1      0 3     1 3     2 3     3   0      1      0 2     2      0 3      1 3      2 3      3

o3 : Curve

Synopsis

  • Usage:
    C = curve(d,g)
  • Inputs:
  • Outputs:
    • C, an instance of the type Curve 
i4 : I = curve(5,2);
 
i5 : degree I, genus I

o5 = (5, 2)

o5 : Sequence

Synopsis

  • Usage:
    C = curve(d,g,R)
  • Inputs:
  • Outputs:
    • C, an instance of the type Curve

Ways to use curve :

For the programmer

The object curve is a method function.