Hypertetrahedral arrangements
Algebraic Geometry
2021-11-02 v1
Abstract
In this paper, we introduce the notion of a complete hypertetrahedral arrangement in . We address two basic problems. First, we describe the local freeness of in terms of smaller complete hypertetrahedral arrangements and graph theory properties, specializing the Musta\c{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 .
Cite
@article{arxiv.2111.01116,
title = {Hypertetrahedral arrangements},
author = {Liena Colarte and Laura Costa and Simone Marchesi and Rosa Maria Miró-Roig and Marti Salat},
journal= {arXiv preprint arXiv:2111.01116},
year = {2021}
}
Comments
26 pages. To appear in Mathematische Zeitschrift. Comments are welcome