In this paper, we present a method to inductively construct Gorenstein ideals of any codimension c. We start from a Gorenstein ideal I of codimension c contained in a complete intersection ideal J of the same codimension, and we prove that under suitable hypotheses there exists a new Gorenstein ideal contained in the residual ideal I : J. 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.

Bocci, C., Dalzotto, G., Notari, R., Spreafico, M.L. (2005). An iterative construction of Gorenstein Ideals. TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 357(4), 1417-1444 [10.1090/S0002-9947-04-03521-4].

An iterative construction of Gorenstein Ideals

BOCCI, CRISTIANO;
2005-01-01

Abstract

In this paper, we present a method to inductively construct Gorenstein ideals of any codimension c. We start from a Gorenstein ideal I of codimension c contained in a complete intersection ideal J of the same codimension, and we prove that under suitable hypotheses there exists a new Gorenstein ideal contained in the residual ideal I : J. 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.
Bocci, C., Dalzotto, G., Notari, R., Spreafico, M.L. (2005). An iterative construction of Gorenstein Ideals. TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 357(4), 1417-1444 [10.1090/S0002-9947-04-03521-4].
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11365/12409
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