61 citations · 61 across the 4 of their papers we have counts for
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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…
Partially symmetric variants of Comon's problem via simultaneous rank
Fulvio Gesmundo, Alessandro Oneto, Emanuele Ventura
A symmetric tensor may be regarded as a partially symmetric tensor in several different ways. These produce different notions of rank for the symmetric tensor which are related by…
Tangential varieties of Segre-Veronese surfaces are never defective
Maria Virginia Catalisano, Alessandro Oneto
We compute the dimensions of all the secant varieties to the tangential varieties of all Segre-Veronese surfaces. We exploit the typical approach of computing the Hilbert function…
On minimal decompositions of low rank symmetric tensors
Bernard Mourrain, Alessandro Oneto
We use an algebraic approach to construct minimal decompositions of symmetric tensors with low rank. This is done by using Apolarity Theory and by studying minimal sets of reduced…
Unexpected curves arising from special line arrangements
Michela Di Marca, Grzegorz Malara, Alessandro Oneto
In a recent paper arXiv:1602.02300v2, Cook II, Harbourne, Migliore and Nagel related the splitting type of a line arrangement in the projective plane to the number of conditions im…