Equations of tensor eigenschemes

Beorchia, Valentina; Galuppi, Francesco; Venturello, Lorenzo

doi:10.1090/mcom/3882

Equations of tensor eigenschemes
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by Valentina Beorchia, Francesco Galuppi and Lorenzo Venturello

Math. Comp. 93 (2024), 589-602

DOI: https://doi.org/10.1090/mcom/3882

Published electronically: August 4, 2023

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Abstract:

We study schemes of tensor eigenvectors from an algebraic and geometric viewpoint. We characterize determinantal defining equations of such eigenschemes via linear equations in their coefficients, both in the general and in the symmetric case. We give a geometric necessary condition for a 0-dimensional scheme to be an eigenscheme.

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