A note on free determinantal hypersurface arrangements in $\mathbb{P}^{14}_{\mathbb{C}}$

Marek Janasz; Paulina Wiśniewska

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arXiv · 2201.01049

A note on free determinantal hypersurface arrangements in $\mathbb{P}^{14}_{\mathbb{C}}$

Marek Janasz·Paulina Wiśniewska

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Abstract

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.

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Marek Janasz, Paulina Wiśniewska. 2022-01-04. A note on free determinantal hypersurface arrangements in $\mathbb{P}^{14}_{\mathbb{C}}$. https://arxiv.org/abs/2201.01049

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