Conic-Line Arrangements in the Complex Projective Plane

Discrete &amp Computational Geometry（2022）

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摘要

The main goal of this note is to begin a systematic study on conic-line arrangements in the complex projective plane. We show a de Bruijn–Erdős type inequality and Hirzebruch-type inequality for a certain class of conic-line arrangements having ordinary singularities. We will also study, in detail, certain conic-line arrangements in the context of the geography of log-surfaces and free divisors in the sense of Saito.

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关键词

Conic-line arrangements,Hirzbruch-type inequalities,de Bruijn-Erdos inequality,Log-surfaces,Log-Chern slopes,Freeness

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