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arxiv: 2205.04413 · v1 · pith:WXHIGW2T · submitted 2022-05-09 · math.AG

Equations of tensor eigenschemes

Valentina Beorchia , Francesco Galuppi , Lorenzo Venturello This is my paper

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classification math.AG
keywords equationseigenschemesgeometrictensoralgebraiccasecharacterizecoefficients
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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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