Separators of Arithmetically Cohen-Macaulay fat points in P^1 x P^1

Details Separators of Arithmetically Cohen-Macaulay fat points in P^1 x P^1 Separators of Arithmetically Cohen-Macaulay fat points in P^1 x P^1

2010-05-28

arxiv.org/abs/1005.5280v2

Mathematics

Commutative Algebra

10 pages; revised final version to appear in J. Commutative Algebra

Scientific paper

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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