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arXiv · 2205.04413

Equations of tensor eigenschemes

Valentina Beorchia·Francesco Galuppi·Lorenzo Venturello
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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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Valentina Beorchia, Francesco Galuppi, Lorenzo Venturello. 2022-05-09. Equations of tensor eigenschemes. https://doi.org/10.1090/mcom/3882

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