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MuPAD - PrimDec
Plot the variety given by the ideal
I=(y2z5-x2y2z2+y2z4-z6-z5+x4-x2z2,-y3z3+yz4+x2yz).
Step |
1: |
Calculate a primary decomposition of I
using Singular. |
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>> primDec:=sing::primdecGTZ(I)):
>> primeComps:=map(primDec, op, 2); |
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[[x^2-y^2*z^2+z^3],[x^4,z],[y,x^2-z^2-z^3]] |
Step | 2: |
For each prime component, calculate the normalization of
the radical, i. e., a parametrization using Singular. |
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>> paramComps:=map(primeComps, sing::parametrize) |
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[[s^2*t-t^3,s,s^2-t^2],
[0,s,0], [s^3-s,0,s^2-1]] |
Step | 3: |
Plot the parametrizations using MuPAD. |
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>> plot3d([Mode=Surface,paramComps[1],s=[-2..2],t=[-2..2]]); |
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