On The Eigenpoints Of Cubic Surfaces
MATEMATICHE(2020)
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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