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UnirationalComponentOf6GonalGenus11Curves :: equisingularDefCurveTriples

equisingularDefCurveTriples

Synopsis

Description

Computes a matrix whose columns define the first order embedded deformations of the canonical curve, induced by the equisingular deformations of the plane curve, which are given by columns of the matrix H.

i1 : p=101;--a prime number
i2 : L=random6gonalGenus11CurvekPencil(p,5);
i3 : H=equisingularDefOfPlaneCurve(L_3);--basis of equsingular deformation

              ZZ             1        ZZ             33
o3 : Matrix (---[x , x , x ])  <--- (---[x , x , x ])
             101  0   1   2          101  0   1   2
i4 : time A=equisingularDefCurveTriples(L_3,L_4,H_{1});
     -- used 92.5558 seconds

              ZZ                                              36        ZZ                                              1
o4 : Matrix (---[r , r , r , r , r , r , r , r , r , r , r  ])   <--- (---[r , r , r , r , r , r , r , r , r , r , r  ])
             101  0   1   2   3   4   5   6   7   8   9   10           101  0   1   2   3   4   5   6   7   8   9   10

Ways to use equisingularDefCurveTriples :