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math.AC2007
Hilbert Functions of Filtered Modules
M. E. Rossi, G. Valla
In this presentation we shall deal with some aspects of the theory of Hilbert functions of modules over local rings, and we intend to guide the reader along one of the possible rou…
math.AC2007★ 2 cited
Structure theorems for certain Gorenstein ideals
Juan Elias, Giuseppe Valla
The main achievement of this paper is to provide a structure theorem for Artinian, Gorenstein local rings with the property that the square of the maximal ideal is generated by two…
math.AC2007
Canonical Hilbert-Burch matrices for ideals of
Aldo Conca, Giuseppe Valla
An Artinian ideal of has many Hilbert-Burch matrices. We show that there is a canonical choice. As an application, we determine the dimension of certain affine Gröbner…