Separators of Arithmetically CohenMacaulay fat points in P^1 x P^1
Abstract
Let Z be a set of fat points in P^1 x P^1 that is also arithmetically CohenMacaulay (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.
 Publication:

arXiv eprints
 Pub Date:
 May 2010
 arXiv:
 arXiv:1005.5280
 Bibcode:
 2010arXiv1005.5280G
 Keywords:

 Mathematics  Commutative Algebra;
 13D40;
 13D02;
 14M05
 EPrint:
 10 pages