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math.AC2008
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…
math.AC2008
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
math.AC2008★ 1 cited
Isomorphism classes of certain Artinian Gorenstein algebras
Juan Elias, Giuseppe Valla
In this paper we classify, up to analytic isomorphism, the family of almost stretched Artinian complete intersection A=R/I with a given Hilbert function, in the case R is a power s…