Separators of Arithmetically Cohen-Macaulay fat points in P^1 x P^1
Commutative Algebra
2011-06-30 v2
Abstract
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.
Cite
@article{arxiv.1005.5280,
title = {Separators of Arithmetically Cohen-Macaulay fat points in P^1 x P^1},
author = {Elena Guardo and Adam Van Tuyl},
journal= {arXiv preprint arXiv:1005.5280},
year = {2011}
}
Comments
10 pages; revised final version to appear in J. Commutative Algebra