61 citations · 202 across the 25 of their papers we have counts for
7 papers · 1 filter
Hilbert functions of schemes of double and reduced points
Enrico Carlini, Maria Virginia Catalisano, Elena Guardo +1
It remains an open problem to classify the Hilbert functions of double points in . Given a valid Hilbert function of a zero-dimensional scheme in ,…
On the Hilbert function of general fat points in
Enrico Carlini, Maria Virginia Catalisano, Alessandro Oneto
We study the bi-graded Hilbert function of ideals of general fat points with same multiplicity in . Our first tool is the multiprojective-affine-pro…
Symmetric tensors: rank, Strassen's conjecture and e-computability
E. Carlini, M. V. Catalisano, L. Chiantini +2
In this paper we introduce a new method to produce lower bounds for the Waring rank of symmetric tensors. We also introduce the notion of -computability and we use it to prove t…
-computable forms and the Strassen conjecture
Enrico Carlini, Maria Virginia Catalisano, Luca Chiantini +2
In this paper we introduce the notion of -computability as a method of finding the Waring rank of forms. We use this notion to find infinitely many new examples which satisfy St…
Symmetric tensors: rank and Strassen's conjecture
Enrico Carlini, Maria Virginia Catalisano, Luca Chiantini +2
In this paper we introduce the notion of linear computability as a method of finding the Waring rank of forms. We use this notion to find infinitely many new examples which satisfy…
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,…