2 citations · 3 across the 5 of their papers we have counts for
7 papers
One-dimensional Gorenstein local rings with decreasing Hilbert function
Anna Oneto, Francesco Strazzanti, Grazia Tamone
In this paper we solve a problem posed by M.E. Rossi: {\it Is the Hilbert function of a Gorenstein local ring of dimension one not decreasing? } More precisely, for any integer $h>…
On semigroup rings with decreasing Hilbert function
Anna Oneto, Grazia Tamone
In this paper we study the Hilbert function HR of one-dimensional semigroup rings R = k[[S]]. For some classes of semigroups, by means of the notion of support of the elements in S…
Explicit minimal resolution for certain monomial curves
Anna Oneto, Grazia Tamone
With a view to study problems of smoothability, we construct a minimal free resolution for the coordinate ring of an algebroid monomial curve associated to an numerical semigr…
On the minimum distance of AG codes, on Weierstrass semigroups and the smoothability of certain monomial curves in 4-Space
Alessio Del Padrone, Anna Oneto, Grazia Tamone
In this paper we treat several topics regarding numerical Weierstrass semigroups and the theory of Algebraic Geometric Codes associated to a pair , where is a projectiv…
On some invariants in numerical semigroups and estimations of the order bound
Anna Oneto, Grazia Tamone
We study suitable parameters and relations in a numerical semigroup S. When S is the Weierstrass semigroup at a rational point P of a projective curve C, we evaluate the Feng-Rao o…
On the two differences l(I^*/R)-l(R/I) and rl(R/I)-l(I^*/R)
Anna Oneto, Elsa Zatini
Let R be a one-dimensional local Noetherian domain, which is supposed analytically irreducible and residually rational, and let I be a proper ideal of R. Our purpose is to study th…