3 papers
math.AC2016
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>…
math.AC2016
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…
math.AG2011
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…