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math.CO2025
Varieties of Lines in 3-Space
Benjamin Hollering, Elia Mazzucchelli, Matteo Parisi +1
We consider configurations of lines in 3-space with incidences prescribed by a graph. This defines a subvariety in a product of Grassmannians. Leveraging a connection with rigidity…
math.CO2024
Hyperplane Representations of Interventional Characteristic Imset Polytopes
Benjamin Hollering, Joseph Johnson, Liam Solus
Characteristic imsets are 0/1-vectors representing directed acyclic graphs whose edges represent direct cause-effect relations between jointly distributed random variables. A chara…