Beiträge zur Algebra und Geometrie Contributions to Algebra and Geometry Vol. 44, No. 1, pp. 285302 (2003) 

Partial Intersections and Graded Betti NumbersAlfio Ragusa and Giuseppe ZappalàDipartimento di Matematica, Università di Catania, Viale A. Doria 6, 95125 Catania, Italy, email: ragusa@dmi.unict.it; email: zappalag@dmi.unict.itAbstract: It is well known that for $2$codimensional aCM subschemes of ${\mathbb P}^r$ with a fixed Hilbert function $H$ there are all the possible graded Betti numbers between suitable bounds depending on $H.$ For aCM subschemes of codimension $c\ge 3$ with Hilbert function $H$ it is just known that there are upper bounds for the graded Betti numbers depending on $H$ and these can be reached; but what are the graded Betti numbers which can be realized is not yet completely understood. The aim of the paper is to construct $c$codimensional subschemes of ${\mathbb P}^r$ which could recover as many graded Betti numbers as possible generalizing both the $2$codimensional case and the maximal case. Classification (MSC2000): 13D40, 13H10 Full text of the article:
Electronic version published on: 3 Apr 2003. This page was last modified: 4 May 2006.
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