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A Result on Macaulay's Curve

Hellus, M. ; Hübl, R.


It is not known whether Macaulay's curve C-4 subset of IPk3 is a set-theoretic complete intersection or not in characteristic zero. There are known (weak) indications that the answer is negative; clearly, a negative such answer would provide the first example of an irreducible non-set-theoretic complete intersection curve, i.e., of a curve in affine or projective n-space that cannot be cut out by ...


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