A note on free determinantal hypersurface arrangements in P¹⁴C

• Janasz, Marek ; Wiśniewska, Paulina ^[1]
  1. [1] Pedagogical University of Kraków

     Pedagogical University of Kraków

     Kraków, Polonia

     
• Localización: Proyecciones: Journal of Mathematics, ISSN 0716-0917, ISSN-e 0717-6279, Vol. 42, Nº. 4, 2023, págs. 1093-1104
• Idioma: inglés
• DOI: 10.22199/issn.0717-6279-5780
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• Resumen

  • 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.

• Referencias bibliográficas
  • R.-O. Buchweitz, D. Mond, Singularities and Computer Algebra. London Mathematical Society Lecture Note Series, vol. 324, pp. 41-77. Cambridge:...
  • 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,...
  • W. Decker, G.-M. Greuel, G. Pfister, and H. Schönemann, Singular 4-1-1 – A computer algebra system for polynomial computations, 2018. [On...
  • 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