A variety V (that is not necessarily a complete intersection) of codimension k is a component of a complete intersection of codimension k defined by k general linear combinations of any generating set of the defining ideal of V.
This function automates the above construction.
i1 : R = CC[x,y,z]; |
i2 : F = {x*y, x^2 - y, x*z};
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i3 : L = generalEquations(2,F)
2
o3 = {(.624687 + .361772*ii)x + (.388243 + .0564398*ii)x*y + (.751713 +
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2
.661142*ii)x*z + (- .624687 - .361772*ii)y, (.54497 + .0650975*ii)x +
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(.813807 + .928661*ii)x*y + (.0165639 + .866539*ii)x*z + (- .54497 -
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.0650975*ii)y}
o3 : List
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