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New conjectures on multiplicities of tensor eigenvalues
Stefano Canino, Cosimo Flavi, Francesco Galuppi +1
We work on two conjectures on tensor eigenvalue multiplicities. By using the language of algebraic geometry we give stronger, more refined versions of the conjectures and we prove…
Characteristic polynomials and eigenvalues of tensors
Francesco Galuppi, Fulvio Gesmundo, Ettore Teixeira Turatti +1
We lay the geometric foundations for the study of the characteristic polynomial of tensors. For symmetric tensors of order and dimension , and symmetric tensors of or…
Equations of tensor eigenschemes
Valentina Beorchia, Francesco Galuppi, Lorenzo Venturello
We study schemes of tensor eigenvectors from an algebraic and geometric viewpoint. We characterize determinantal defining equations of such eigenschemes via linear equations in the…
Eigenschemes of Ternary Tensors
Valentina Beorchia, Francesco Galuppi, Lorenzo Venturello
We study projective schemes arising from eigenvectors of tensors, called eigenschemes. After some general results, we give a birational description of the variety parametrizing eig…