1977 (v1)
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T
G
TAMONE , Grazia
Last name: TAMONE
First name: Grazia
Institution: UNIGE
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1977 (v1)Publication
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1974 (v1)Publication
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1980 (v1)Publication
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1998 (v1)Publication
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1985 (v1)Publication
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1984 (v1)Publication
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1983 (v1)Publication
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1994 (v1)Publication
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1992 (v1)Publication
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2012 (v1)Publication
Abstract . In this paper we consider numerical semigroups S generated by arithmetic sequences m_0, m_n ( AS semigroups ) . First we state some results on the module T1 of k[S] ; further in the cases m_0≡ 1 and m_0≡ n ( modulo n ) , we prove these semigroups are Weierstrass by showing that the associated monomial curves X = Spec K[S] are...
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2008 (v1)Publication
Let S=$\{$ s$_0=0 < $s_1 < ... < s_i ... \}\subseteq {\mathbb N}$ be a numerical non-ordinary semigroup; then set, for each i, $\nu _ i := cardinality $ \{ (s _j, s_i-s_j)\in S ^2 \}$. \ We find a non-negative integer m such that $d_{ORD} (i)= \nu_{i +1}$ for $i\geq m$, where $d_{ORD} (i)$ denotes the order bound on the minimum distance...
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1994 (v1)Publication
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2009 (v1)Publication
Let S be a numerical semigroup. For each s_i in S , let ni(s_i) denote the number of pairs (t,u) such that t+u=s_i; it is well-known that there exists an integer m such that the sequence ni(s_i) is non-decreasing for i > m. The problem of finding m is solved only in special cases. By way of a suitable parameter t, we improve the known bounds...
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1992 (v1)Publication
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1999 (v1)Publication
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1993 (v1)Publication
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1992 (v1)Publication
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2010 (v1)Publication
Let S=$ \{s_i\}_{i\in\natsmall}\subseteq \nat$ be a numerical semigroup. For $s_i\in S$, let $\nu(s _ i)$ denote the number of pairs $ (s_i-s_j,s_j)\in S^2 $. When S is the Weierstrass semigroup of a family $\{C_i\}_{i\in{\mathbb N}}$ of one-point algebraic-geometric codes, a good bound for the minimum distance of the code...
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1990 (v1)Publication
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1995 (v1)Publication
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2017 (v1)Publication
Given a one-dimensional semigroup ring R=k[[S]], in this article we study the behaviour of the Hilbert function HR. By means of the notion of support of the elements in S, for some classes of semigroup rings we give conditions on the generators of S in order to have decreasing HR. When the embedding dimension v and the multiplicity e verify...
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2016 (v1)Publication
We find a resolution for the coordinate ring R of an algebraic monomial curve associated to a G numerical semigroup (i.e. generated by a generalized arithmetic sequence), by extending a previous paper (Gimenez, Sengupta, Srinivasan) on arithmetic sequences . A consequence is the determinantal description of the first syzygy module of R. ...
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2014 (v1)Publication
In this paper , we consider semigroups of embedding dimension five generated by arithmetic sequences . We prove these semigroups are Weierstrass by showing that the associated monomial curves are smoothable
Uploaded on: April 14, 2023