5 papers
Finiteness of Hadamard ranks
Dario Antolini, Edoardo Ballico, Alessandro Oneto
The Hadamard rank of a point with respect to a projective variety is, if it exists, the minimum number of points of the variety whose coordinate-wise product is the given point. We…
Algebraic surfaces as Hadamard products of curves
Dario Antolini, Edoardo Ballico, Alessandro Oneto
We study projective surfaces in which can be written as Hadamard product of two curves. We show that quadratic surfaces which are Hadamard product of two lines are s…
Hadamard ranks of algebraic varieties
Dario Antolini, Guido Montúfar, Alessandro Oneto
Motivated by the study of decompositions of tensors as Hadamard products (i.e., coefficient-wise products) of low-rank tensors, we introduce the notion of Hadamard rank of a given…
Dilworth truncations and Hadamard products of linear spaces
Dario Antolini, Sean Dewar, Shin-ichi Tanigawa
As a direct application of Dilworth truncations of polymatroids, we give short proofs of two theorems: Bernstein's characterisation of algebraic matroids coming from the Hadamard p…
The Chirotropical Grassmannian
Dario Antolini, Nick Early
Recent developments in particle physics have revealed deep connections between scattering amplitudes and tropical geometry. From the heart of this relationship emerged the chirotro…