On The Eigenpoints Of Cubic Surfaces

Celik Türkü Özlüm,Galuppi Francesco,Kulkarni Avinash,Sorea Miruna-Stefana

MATEMATICHE（2020）

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Abstract

We show that the eigenschemes of 4 x 4 x 4 symmetric tensors are parameterized by a linear subvariety of the Grassmannian Gr(3, p(14)). We also study the decomposition of the eigenscheme into the subscheme associated to the zero eigenvalue and its residue. In particular, we describe the possible degrees and dimensions.

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Key words

eigenpoints of tensors, cubic surfaces, Grassmannians

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