2 citations · 2 across the 4 of their papers we have counts for
4 papers
On the Chern number of a filtration
M. E. Rossi, G. Valla
We study the first Hilbert coefficient (after the multiplicity) of a local ring $(A,\m). $ Under various circumstances, it is also called the {\bf Chern number} of the local…
A family of local rings with rational Poincaré Series
Juan Elias, Giuseppe Valla
In this note we compute the Poincare Series of almost stretched Gorenstein local rings. It turns out that it is rational
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…
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…