On maximizing line arrangements in the complex plane

Authors

  • Patrycja Liana Department of Mathematics, University of the National Education Commission Krakow

Keywords:

line arrangements,, maximizing curves

Abstract

In this note we provide a complete classification of weak combinatorics of the so-called maximizing line arrangements in the complex projective plane.

References

Dimca, Alexandru. Hyperplane arrangements. An introduction. Cham: Springer, 2017.
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Dimca, Alexandru and Piotr Pokora. "Maximizing curves viewed as free curves." Int. Math. Res. Not. IMRN 2023, no. 22 (2023): 19156-19183.
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Grünbaum, Branko. "A catalogue of simplicial arrangements in the real projective plane." Ars Math. Contemp. 2, no. 1 (2009): 1-25.
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Hirzebruch, Friedrich. "Arrangements of lines and algebraic surfaces." Arithmetic and geometry, Vol. II, 113-140. Vol. 36 of Progress in Mathematics. Boston: Birkhäuser, 1983.
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Persson, Ulf. "Horikawa surfaces with maximal Picard numbers." Math. Ann. 259, no. 3 (1982): 287-312.
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Published

2024-01-25

How to Cite

Liana, P. (2024). On maximizing line arrangements in the complex plane. Annales Universitatis Paedagogicae Cracoviensis Studia Mathematica, 23, 13–17. Retrieved from https://studmath.uken.krakow.pl/article/view/10817

Issue

Vol. 23 (2024)

Section

Published

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Copyright (c) 2024 Wydawnictwo Naukowe Uniwersytetu Pedagogicznego

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