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arXiv · 1909.06261

On the eigenpoints of cubic surfaces

Türkü Özlüm Celik·Francesco Galuppi·Avinash Kulkarni·Miruna-Stefana Sorea
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Abstract

We show that the eigenschemes of $4 \times 4 \times 4$ symmetric tensors are parametrized by a linear subvariety of the Grassmannian $\operatorname{Gr}(3,\mathbb{P}^{14})$. We also study the decomposition of the eigenscheme into the subscheme associated to the zero eigenvalue and its residue. In particular, we categorize the possible degrees and dimensions.

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Türkü Özlüm Celik, Francesco Galuppi, Avinash Kulkarni, Miruna-Stefana Sorea. 2019-09-13. On the eigenpoints of cubic surfaces. https://doi.org/10.4418/2020.75.2.13

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