61 citations · 61 across the 2 of their papers we have counts for
5 papers
Geometric conditions for strict submultiplicativity of rank and border rank
Edoardo Ballico, Alessandra Bernardi, Fulvio Gesmundo +2
The -rank of a point in projective space is the minimal number of points of an algebraic variety whose linear span contains . This notion is naturally submultiplicati…
Border Waring Rank via Asymptotic Rank
Matthias Christandl, Fulvio Gesmundo, Alessandro Oneto
We investigate an extension of a lower bound on the Waring (cactus) rank of homogeneous forms due to Ranestad and Schreyer. We show that for particular classes of homogeneous forms…
The monic rank
Arthur Bik, Jan Draisma, Alessandro Oneto +1
We introduce the monic rank of a vector relative to an affine-hyperplane section of an irreducible Zariski-closed affine cone . We show that the monic rank is finite and greater…
The Hitchhiker guide to: Secant Varieties and Tensor Decomposition
Alessandra Bernardi, Enrico Carlini, Maria Virginia Catalisano +2
We consider here the problem, which is quite classical in Algebraic geometry, of studying the secant varieties of a projective variety . The case we concentrate on is when i…
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…