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Show that the homogeneous ideal of the set { [1 : 0 : 0], [0 : 1 : 0]] CP? is (X2, XoXI). Give a

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Show that the homogeneous ideal of the set { [1 : 0 : 0], [0 : 1 : 0]] CP? is (X2, XoXI). Give a geometrical interpretation of this result and find the homogeneous ideal of the set {(2 : 3 : -1], [1 : -2: 2)). Generalize to sets of three points in P2.Show that the homogeneous ideal of the set { [1 : 0 : 0], [0 : 1 : 0]] CP? is (X2, XoXI). Give a geometrical interpretation of this result and find the homogeneous ideal of the set {(2 : 3 : -1], [1 : -2: 2)). Generalize to sets of three points in P2

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