A note on free determinantal hypersurface arrangements in P¹⁴C
DOI:
https://doi.org/10.22199/issn.0717-6279-5780Keywords:
hypersurface arrangements, freeness, determinantal arrangementsAbstract
In the present note we study determinantal arrangements constructed with use of the 3-minors of a 3 × 5 generic matrix of indeterminates. In particular, we show that certain naturally constructed hypersurface arrangements in P14C are free.
References
R.-O. Buchweitz, D. Mond, Singularities and Computer Algebra. London Mathematical Society Lecture Note Series, vol. 324, pp. 41-77. Cambridge: Cambridge University Press, 2006.
L. Busé, A. Dimca, H. Schenck, and G. Sticlaru, “The Hessian polynomial and the Jacobian ideal of a reduced surface in Pn”, Advances in Mathematics, vol. 392, Article ID 108035, vol. 22, pp. 22, 2021. doi: 10.1016/j.aim.2021.108035
W. Decker, G.-M. Greuel, G. Pfister, and H. Schönemann, Singular 4-1-1 – A computer algebra system for polynomial computations, 2018. [On line]. Available: http://www.singular.uni-kl.de
A. Dimca, Hyperplane arrangements. An introduction. Universitext. Cham: Springer, 2017.
H. Schenck and S ̧. O. Tohăneanu, “Freeness of Conic-Line Arrangements in P2”, Commentarii Mathematici Helvetici, vol. 84, pp. 235-258, 2009.
A. Yim, “Homological properties of determinantal arrangements”, Journal of Algebra, vol. 471, pp. 220-239, 2017. https://doi.org/10.1016/j.jalgebra.2016.09.019
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Copyright (c) 2023 Marek Janasz, Paulina Wiśniewska
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