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math.AG2023
Sullivant-Talaska ideal of the cyclic Gaussian Graphical Model
Austin Conner, Kangjin Han, Mateusz Michałek
In this paper, we settle a conjecture due to Sturmfels and Uhler concerning generation of the prime ideal of the variety associated to the Gaussian graphical model of any cycle gra…
math.AC2023
Polynomial systems admitting a simultaneous solution
Austin Conner, Mateusz Michalek, Michael Schindler +1
We provide a complete description of the ideal that serves as the resultant ideal for n univariate polynomials of degree d. We in particular describe a set of generators of this re…