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- W3209620185 abstract "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 Mustac{t}u{a}-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 $mathcal{A}$." @default.
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- W3209620185 date "2021-11-01" @default.
- W3209620185 modified "2023-09-27" @default.
- W3209620185 title "Hypertetrahedral arrangements." @default.
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