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Please use this identifier to cite or link to this item: https://hdl.handle.net/2445/194820
Hypertetrahedral arrangements
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In this paper, we introduce the notion of a complete hypertetrahedral arrangement $\mathcal{A}$ in $\mathbb{P}^n$. We address two basic problems. First, we describe the local freeness of $\mathcal{A}$ in terms of smaller complete hypertetrahedral arrangements and graph theory properties, specializing the Mustață-Schenck criterion. As an application, we obtain that general complete hypertetrahedral arrangements are not locally free. In the second part of this paper, we bound the initial degree of the first syzygy module of the Jacobian ideal of $\mathcal{A}$.
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COLARTE GÓMEZ, Liena, et al. Hypertetrahedral arrangements. Mathematische Zeitschrift. 2021. Vol. 301, num. 515-539. ISSN 0025-5874. [consulted: 17 of June of 2026]. Available at: https://hdl.handle.net/2445/194820