TL;DR
This paper computes the fundamental groups of all irreducible plane sextics that form classical Zariski pairs, providing detailed algebraic topological insights into these special algebraic curves.
Contribution
It offers a complete computation of fundamental groups for a class of algebraic curves known as classical Zariski pairs, advancing understanding of their topological properties.
Findings
Fundamental groups of all irreducible plane sextics in classical Zariski pairs are explicitly determined.
The results clarify the topological distinctions within classical Zariski pairs.
Provides a comprehensive algebraic topological classification of these sextics.
Abstract
We compute the fundamental groups of all irreducible plane sextics constituting classical Zariski pairs
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Taxonomy
TopicsFinite Group Theory Research · Algebraic Geometry and Number Theory · Coding theory and cryptography