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.
Beorchia, V., Galuppi, F., Venturello, L. (2024). Equations of tensor Eigenschemes. MATHEMATICS OF COMPUTATION, 93(346), 589-602 [10.1090/mcom/3882].
Equations of tensor Eigenschemes
Venturello L.
2024-01-01
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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https://hdl.handle.net/11365/1256076