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On the freeness of certain determinantal hypersurface arrangements in $\mathbb{P}^{14}$

On the freeness of certain determinantal hypersurface arrangements in $\mathbb{P}^{14}$

In the present note we study determinantal arrangements constructed with use of the $3$-minors of a $3 \times 5$ generic matrix of indeterminates. In particular, we show that certain naturally constructed hypersurface arrangements in $\mathbb{P}^{14}_{\mathbb{C}}$ are free.