On free arrangements of three conics
{\L}ukasz Merta, Filip Zieli\'nski, Marcin Zieli\'nski
TL;DR
This paper classifies all free arrangements of three smooth conics on the complex projective plane, focusing on those with only ADE and J_{2,0} singularities, providing a comprehensive understanding of their structure.
Contribution
It offers a complete classification of free arrangements of three smooth conics with specific singularities, a new result in algebraic geometry.
Findings
Classification of free arrangements with ADE and J_{2,0} singularities
Identification of conditions for freeness in conic arrangements
Extension of known results to complex projective plane
Abstract
We give a complete classification of free arrangement of three smooth conics on complex projective plane admitting only singularities and singularities.
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Taxonomy
TopicsMathematics and Applications · Geometric and Algebraic Topology · Point processes and geometric inequalities