On the eigenpoints of cubic surfaces
Algebraic Geometry
2020-10-12 v2
Abstract
We show that the eigenschemes of symmetric tensors are parametrized by a linear subvariety of the Grassmannian . 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.
Cite
@article{arxiv.1909.06261,
title = {On the eigenpoints of cubic surfaces},
author = {Türkü Özlüm Celik and Francesco Galuppi and Avinash Kulkarni and Miruna-Stefana Sorea},
journal= {arXiv preprint arXiv:1909.06261},
year = {2020}
}
Comments
15 pages, 1 figure, to appear in Le Matematiche