M. Catalisano

activity

20032025

most citedThe Hitchhiker guide to: Secant Varieties and Tensor Decomposition

61 citations · 202 across the 25 of their papers we have counts for

collaborators

Showing 2011Show all

4 papers · 1 filter

math.AC2011★ 3 cited

The Waring rank of the sum of pairwise coprime monomials

Enrico Carlini, Maria Virginia Catalisano, Anthony V. Geramita

In this paper we compute the Waring rank of any polynomial of the form F=M_1+...+M_r, where the M_i are pairwise coprime monomials, i.e., GCD(M_i,M_j)=1 for i not j. In particular,…

math.AC2011★ 13 cited

The Solution to Waring's Problem for Monomials

Enrico Carlini, Maria Virginia Catalisano, Anthony V. Geramita

In the polynomial ring $T = k [y_{1}, ..., y_{n}]$ , with $n > 1$ , we bound the multiplicity of homogeneous radical ideals $I \subset (y_{1}^{a_{1}}, ..., y_{n}^{a_{n}})$ such that $T / I$ is a graded $k$ -…

math.AG2011★ 11 cited

Grassmann secants, identifiability, and linear systems of tensors

Edoardo Ballico, Alessandra Bernardi, Maria Virginia Catalisano +1

For any irreducible non-degenerate variety $X \subset P^{r}$ , we give a criterion for the $(k, s)$ -identifiability of $X$ . If $k \leq s - 1 < r$ , then the $(k, s)$ -identifiability…

math.AG2011★ 18 cited

Higher secant varieties of $P^{n} \times P^{1}$ embedded in bi-degree $(a, b)$

Edoardo Ballico, Alessandra Bernardi, Maria Virginia Catalisano

In this paper we compute the dimension of all the higher secant varieties to the Segre-Veronese embedding of $P^{n} \times P^{1}$ via the section of the sheaf $\mathca…

The Waring rank of the sum of pairwise coprime monomials

The Solution to Waring's Problem for Monomials

Grassmann secants, identifiability, and linear systems of tensors

Higher secant varieties of Pn×P1 embedded in bi-degree (a,b)

Higher secant varieties of $P^{n} \times P^{1}$ embedded in bi-degree $(a, b)$