P^1 × P^1中算术Cohen-Macaulay脂肪点的分离子
Separators of Arithmetically Cohen-Macaulay fat points in P^1 x P^1
摘要:
设Z是P^1 × P^1中的一组胖点,也是数学上的科恩-麦考利(ACM)。我们描述了如何计算一个多重m的胖点的分离器的程度,对于Z的支持中的每个点,仅使用Z的数值描述。我们的公式扩展了以前已知的约化点的情况。
英文摘要:
Let Z be a set of fat points in P^1 x P^1 that is also arithmetically Cohen-Macaulay (ACM). We describe how to compute the degree of a separator of a fat point of multiplicity m for each point in the support of Z using only a numerical description of Z. Our formula extends the case of reduced points which was previously known.
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