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math.CO2026
Symmetric Grassmann Formulas: Monotone Dimension-Defect Hierarchies
Masoud Gharahi, Diego Ponterio
We study the dimension defect of finitely many subspaces over an arbitrary field. We derive a symmetric, nonrecursive Grassmann-type formula for the dimension of their sum. The for…
math.AG2026
On the Kronecker Products of Symmetric Persistent Tensors
Masoud Gharahi
Persistent tensors form a recursively defined class adapted to the substitution method and provide nontrivial lower bounds on tensor rank. We study the behavior of symmetric persis…