ABSTRACT. Let Z ⊆ P1 × P1 be a set of fat points thatis also arithmetically Cohen-Macaulay (ACM). We describehow to compute the degree of a separator of a fat point ofmultiplicity 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.

Separators of Arithmetically Cohen-Macaulay Fat Points in P^1XP^1

GUARDO, ELENA MARIA;
2012-01-01

Abstract

ABSTRACT. Let Z ⊆ P1 × P1 be a set of fat points thatis also arithmetically Cohen-Macaulay (ACM). We describehow to compute the degree of a separator of a fat point ofmultiplicity 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.
2012
separators, fat points, Cohen-Macaulay, Hilbert function
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/20.500.11769/9680
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