Macaulay2 / Macaulay2/M2

map not homogeneous

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#1,031 7 comments 0 reactions 1 assignee View on GitHub

@rz10x is already working on this.

Since Oct 17, 2019.

Core
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Macaulay2
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Description

    Macaulay2, version 1.14
    with packages: ConwayPolynomials, Elimination, IntegralClosure, InverseSystems, LLLBases, PrimaryDecomposition, ReesAlgebra, TangentCone, Truncations

    i1 : S=QQ[x_1..x_3]

    o1 = S

    o1 : PolynomialRing

    i2 : F=S^{2,0}

	  2
    o2 = S

    o2 : S-module, free, degrees {-2, 0}

    i3 : f_1=(x_1^3+x_1*x_2^2)*F_0

    o3 = | x_1^3+x_1x_2^2 |
	 |        0       |

	  2
    o3 : S

    i4 : f_2=(x_1^2*x_3)*F_0+x_1*F_1

    o4 = | x_1^2x_3 |
	 |    x_1   |

	  2
    o4 : S

    i5 : f_3=(x_2*x_3^2)*F_1

    o5 = |     0    |
	 | x_2x_3^2 |

	  2
    o5 : S

    i6 : isHomogeneous f_1

    o6 = true

    i7 : isHomogeneous f_2

    o7 = true

    i8 : isHomogeneous f_3

    o8 = true

    i9 : genM=matrix{f_1,f_2,f_3}

    o9 = {-2} | x_1^3+x_1x_2^2 x_1^2x_3 0        |
	 {0}  | 0              x_1      x_2x_3^2 |

		 2       3
    o9 : Matrix S  <--- S

i10 : isHomogeneous oo

o10 = false    <<<<==========

i11 : source o9

       3
o11 = S

o11 : S-module, free

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