Syzygies for points in projective space (Q1183293)

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scientific article; zbMATH DE number 33046
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English
Syzygies for points in projective space
scientific article; zbMATH DE number 33046

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    Syzygies for points in projective space (English)
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    28 June 1992
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    The author shows that the projective coordinate ring \(A\) of \(p\leq 2n-2\) points in linearly general position in \(\mathbb{P}^{n-1}\) is wonderful, i.e. \(\text{Tor}_ i^ A(k,k)\) is concentrated in degree \(i\) for each \(i\geq 0\). Furthermore, \(A\) is wonderful if and only if \(A/xA\) is wonderful for some linear nonzerodivisor \(x\) of \(A\). The paper contains numerous misprints, the first of which occurs in line 2, where \(n+1\) should read \(n\).
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    syzygies
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    wonderful rings
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    coordinate ring of \(p\) points
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