Topology of plane algebraic curves: the algebraic approach
Alex Degtyarev

TL;DR
This paper reviews key tools, results, and open problems related to the classification and topology of plane sextic and trigonal curves within algebraic geometry.
Contribution
It provides an overview of the algebraic methods used to analyze the topology of specific plane algebraic curves and highlights open research questions.
Findings
Summary of principal tools and results
Identification of open problems in classification
Insights into algebraic topology of plane curves
Abstract
We discuss the principle tools and results and state a few open problems concerning the classification and topology of plane sextics and trigonal curves in ruled surfaces.
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Taxonomy
TopicsCommutative Algebra and Its Applications · Advanced Numerical Analysis Techniques · Algebraic Geometry and Number Theory
