In this paper, we present a method to inductively construct Gorenstein ideals of any codimension We start from a Gorenstein ideal of codimension contained in a complete intersection ideal of the same codimension, and we prove that under suitable hypotheses there exists a new Gorenstein ideal contained in the residual ideal We compare some numerical data of the starting and the resulting Gorenstein ideals of the construction. We compare also the Buchsbaum-Eisenbud matrices of the two ideals, in the codimension three case. Furthermore, we show that this construction is independent from the other known geometrical constructions of Gorenstein ideals, providing examples.
An iterative construction of Gorenstein ideals / C. Bocci, G. Dalzotto, R. Notari, M. L. Spreafico. - In: TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY. - ISSN 0002-9947. - 357:4(2005), pp. 1417-1444.
An iterative construction of Gorenstein ideals
C. BocciPrimo
;
2005
Abstract
In this paper, we present a method to inductively construct Gorenstein ideals of any codimension We start from a Gorenstein ideal of codimension contained in a complete intersection ideal of the same codimension, and we prove that under suitable hypotheses there exists a new Gorenstein ideal contained in the residual ideal We compare some numerical data of the starting and the resulting Gorenstein ideals of the construction. We compare also the Buchsbaum-Eisenbud matrices of the two ideals, in the codimension three case. Furthermore, we show that this construction is independent from the other known geometrical constructions of Gorenstein ideals, providing examples.Pubblicazioni consigliate
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