A current research theme is to compare symbolic powers of an ideal I withthe regular powers of I. In this paper, we focus on the case that I = I_X is an idealdefining an almost complete intersection (ACI) set of points X in P1XP1. In particular,we describe a minimal free bigraded resolution of a non arithmetically Cohen-Macaulay(also non homogeneus) set Z of fat points whose support is an ACI generalizing Corollary4.6 given in [5] for homogeneous sets of triple points. We call Z a fat ACI. We also showthat its symbolic and ordinary powers are equal, i.e, I_Z^{(m)}= I_Z^mfor any $m\geq1$.
The minimal free resolution of fat almost complete intersections in P1XP1. (on Line Dec 2016)
FAVACCHIO, GIUSEPPE;GUARDO, ELENA MARIA
2017-01-01
Abstract
A current research theme is to compare symbolic powers of an ideal I withthe regular powers of I. In this paper, we focus on the case that I = I_X is an idealdefining an almost complete intersection (ACI) set of points X in P1XP1. In particular,we describe a minimal free bigraded resolution of a non arithmetically Cohen-Macaulay(also non homogeneus) set Z of fat points whose support is an ACI generalizing Corollary4.6 given in [5] for homogeneous sets of triple points. We call Z a fat ACI. We also showthat its symbolic and ordinary powers are equal, i.e, I_Z^{(m)}= I_Z^mfor any $m\geq1$.File in questo prodotto:
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