Equations and multidegrees for inverse symmetric matrix pairs
Algebraic Geometry
2020-11-10 v1 Commutative Algebra
Abstract
We compute the equations and multidegrees of the biprojective variety that parametrizes pairs of symmetric matrices that are inverse to each other. As a consequence of our work, we provide an alternative proof for a result of Manivel, Michalek, Monin, Seynnaeve and Vodi\v{c}ka that settles a previous conjecture of Sturmfels and Uhler regarding the polynomiality of maximum likelihood degree.
Keywords
Cite
@article{arxiv.2011.04616,
title = {Equations and multidegrees for inverse symmetric matrix pairs},
author = {Yairon Cid-Ruiz},
journal= {arXiv preprint arXiv:2011.04616},
year = {2020}
}