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math.AG2025
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…
math.CO2025
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…
math.AG2025
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…