Geodesic
Hirzebruch-type inequalities viewed as tools in combinatorics
Piotr Pokora1
1Institute of Mathematics Polish Academy of Sciences
The electronic journal of combinatorics, Tome 28 (2021) no. 1
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The main purpose of this survey is to provide an introduction, algebro-topological in nature, to Hirzebuch-type inequalities for plane curve arrangements in the complex projective plane. These inequalities gain more and more interest due to their utility in many combinatorial problems related to point or line arrangements in the plane. We would like to present a summary of the technicalities and also some recent applications, for instance in the context of the Weak Dirac Conjecture. We also advertise some open problems and questions.
DOI : 10.37236/8335
Classification : 52C35, 14N20, 52C30, 32S22, 14T20

Piotr Pokora  1

1 Institute of Mathematics Polish Academy of Sciences 
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Piotr Pokora. Hirzebruch-type inequalities viewed as tools in combinatorics. The electronic journal of combinatorics, Tome 28 (2021) no. 1. doi: 10.37236/8335

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