On free arrangements of three conics

Łukasz Merta; Marcin Zieliński; Filip Zieliński

doi:10.48550/arxiv.2505.20025

May 26, 2025Open Access

On free arrangements of three conics

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Key Points

A complete classification identifies the types of arrangements possible with three smooth conics.
The study focuses on arrangements of conics that can host only ADE and J_{2,0} singularities.
This work enriches the understanding of geometric configurations in the complex projective plane.
Insights from these classifications could benefit studies in algebraic geometry and singularity theory.

Implication

This research presents a classification of free arrangements involving three conics, highlighting ADE and J_{2,0} singularities.

Abstract

We give a complete classification of free arrangement of three smooth conics on complex projective plane admitting only ADE singularities and J2,0 singularities.

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Cite This Study

Merta et al. (2025) studied this question.

synapsesocial.com/papers/68dc12c58a7d58c25ebb0a5a https://doi.org/10.48550/arxiv.2505.20025

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On free arrangements of three conics

Key Points

Implication

Abstract

Discussion

Cite This Study

On free arrangements of three conics

Key Points

Implication

Abstract

Discussion

Cite This Study

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