Eigenconfigurations of Tensors
Algebraic Geometry
2015-12-22 v2 Dynamical Systems
Optimization and Control
Spectral Theory
Abstract
Square matrices represent linear self-maps of vector spaces, and their eigenpoints are the fixed points of the induced map on projective space. Likewise, polynomial self-maps of a projective space are represented by tensors. We study the configuration of fixed points of a tensor or symmetric tensor.
Keywords
Cite
@article{arxiv.1505.05729,
title = {Eigenconfigurations of Tensors},
author = {Hirotachi Abo and Anna Seigal and Bernd Sturmfels},
journal= {arXiv preprint arXiv:1505.05729},
year = {2015}
}
Comments
25 pages