Transactions of the American Mathematical Society

Author(s): C. Bocci; G. Dalzotto; R. Notari; M. L. Spreafico
Journal: Trans. Amer. Math. Soc. 357 (2005), 1417-1444.
MSC (2000): Primary 14M05, 13H10; Secondary 14M06, 13D02, 18G10
Posted: July 22, 2004
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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.

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Retrieve articles in Transactions of the American Mathematical Society with MSC (2000): 14M05, 13H10, 14M06, 13D02, 18G10

C. Bocci
Affiliation: Dipartimento di Matematica, Università di Torino, I-10123 Torino, Italy
Address at time of publication: Dipartimento di Matematica, Università di Milano, I-20133 Milano, Italy
Email: bocci@dm.unito.it, cristiano.bocci@unimi.it

G. Dalzotto
Affiliation: Dipartimento di Matematica, Università di Genova, I-16146 Genova, Italy
Address at time of publication: Dipartimento di Matematica, Università di Pisa, I-56127 Pisa, Italy
Email: dalzotto@module.dima.unige.it, dalzotto@mail.dm.unipi.it

R. Notari
Affiliation: Dipartimento di Matematica, Politecnico di Torino, I-10129 Torino, Italy
Email: roberto.notari@polito.it

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