On rigid plane curves
Viktor S. Kulikov, Eugenii Shustin
TL;DR
This paper presents new examples of rigid plane curves, where the singularities uniquely determine the curve up to projective transformations, advancing understanding of curve classification.
Contribution
The article introduces a series of novel rigid plane curves, expanding the known examples and deepening the study of their singularity-based classification.
Findings
New examples of rigid plane curves are constructed.
Singularities uniquely determine these curves up to projective transformations.
The results contribute to the classification theory of algebraic curves.
Abstract
In the article, we exhibit a series of new examples of rigid plane curves, that is, curves, whose collection of singularities determines them almost uniquely up to a projective transformation of the plane.
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Taxonomy
TopicsAlgebraic Geometry and Number Theory · Polynomial and algebraic computation · Advanced Numerical Analysis Techniques