Equations and multidegrees for inverse symmetric matrix pairs

2020/11/09 by Yairon Cid‐Ruiz, Cid-Ruiz, Yairon
Computer Science · Mathematics · Engineering · #Matrix Theory and Algorithms #advanced mathematical theories #graph theory and CDMA systems

paper · pdf · doi:10.48550/arxiv.2011.04616

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 Vodička that settles a previous conjecture of Sturmfels and Uhler regarding the polynomiality of maximum likelihood degree.

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