3 papers
math.AG2026
Nonlinear methods for tensors: determinantal equations for secant varieties beyond cactus
MatÄj Doležálek, Mateusz MichaÅek
We present a family of flattening methods of tensors which we call Kronecker-Koszul flattenings, generalizing the famous Koszul flattenings and further equations of secant varietie…
math.AG2024
On the codimension of permanental varieties
Ada Boralevi, Enrico Carlini, Mateusz MichaÅek +1
In this article, we study permanental varieties, i.e. varieties defined by the vanishing of permanents of fixed size of a generic matrix. Permanents and their varieties play an imp…
math.ST2024
On the maximum likelihood degree for Gaussian graphical models
Carlos Améndola, Rodica Andreea Dinu, Mateusz MichaÅek +1
In this paper we revisit the likelihood geometry of Gaussian graphical models. We give a detailed proof that the ML-degree behaves monotonically on induced subgraphs. Furthermore,…