2 papers
math.AG2026
The rank of the permanent tensor is sixteen
Jong In Han, Jeyoung Song
In this paper, we show that the tensor rank of the permanent tensor is exactly over fields of characteristic zero, by proving the lower bound matching the known up…
math.AG2025
On the construction of a counterexample to Strassen's rank additivity conjecture
Viktoriia Borovik, Cosimo Flavi, Paweł Pielasa +2
The rank additivity conjecture, first formulated by Volker Strassen in 1973, states that the rank of the direct sum of two independent tensors is equal to the sum of their individu…