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 2011 · math.ACShow all

2 papers · 2 filters

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 $k$ -…