2 citations · 8 across the 10 of their papers we have counts for
10 papers
On the Hilbert function of one-dimensional local complete intersections
J. Elias, M. E. Rossi, G. Valla
The Hilbert function of standard graded algebras are well understood by Macaulay's theorem and very little is known in the local case, even if we assume that the local ring is a co…
Grothendieck-Lefschetz Theory, Set-Theoretic Complete Intersections and Rational Normal Scrolls
Lucian Badescu, Giuseppe Valla
Using the Grothendieck-Lefschetz theory (see \cite{[SGA2]}) we prove a criterion to deduce that certain subvarieties of of dimension are not set-theoretic co…
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
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…
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…