• Corpus ID: 118922638

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

@article{Guardo2010SeparatorsOA,
  title={Separators of Arithmetically Cohen-Macaulay fat points in P^1 x P^1},
  author={Elena Guardo and Adam Van Tuyl},
  journal={arXiv: Commutative Algebra},
  year={2010}
}
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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