On the eigenpoints of cubic surfaces

Authors

  • Turku Ozlum Celik Max Planck Institute for Mathematics in the Sciences
  • Francesco Galuppi Max Planck Institute for Mathematics in the Sciences
  • Avinash Kulkarni Max Planck Institute for Mathematics in the Sciences
  • Miruna-Ştefana Sorea Max Planck Institute for Mathematics in the Sciences

Abstract

We show that the eigenschemes of 4 × 4 × 4 symmetric tensors are parameterized by a linear subvariety of the Grassmannian Gr(3, P14). 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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Published

2020-09-09

Issue

Vol. 75 No. 2 (2020)

Section

Articoli

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