Classification of unimodal parametric plane curve singularities in positive characteristic

DOI10.1016/J.JALGEBRA.2024.07.018zbMATH Open1548.58018MaRDI QIDQ6612145

Gert-Martin Greuel, Gerhard Pfister, Khawar Mehmood, Muhammad Ahsan Binyamin

Publication date: 30 September 2024

Published in: Journal of Algebra (Search for Journal in Brave)

zbMATH Keywords

classificationmodalityparameterization\( \mathcal{A} \)-equivalencealgebroid plane branches

Mathematics Subject Classification ID

Singularities of curves, local rings (14H20) Critical points of functions and mappings on manifolds (58K05)

Cites Work

• Right simple singularities in positive characteristic
• Invariants of hypersurface singularities in positive characteristic
• Simple singularities in positive characteristic
• Standard bases for local rings of branches and their modules of differentials
• Simple singularities of curves
• Characterization of uni-modal parametric plane curve singularities
• The analytic classification of plane branches
• Simple Singularities of Mappings C, 0 → C² , 0
• NORMAL FORMS OF FUNCTIONS IN NEIGHBOURHOODS OF DEGENERATE CRITICAL POINTS
• Simple singularities of parametrized plane curves in positive characteristic
• Characterization of stably simple curve singularities
• Normal Forms of Hypersurface Singularities in Positive Characteristic
• Bimodal Singularities of Parametrized Plane Curves
• Simple singularities of space curves
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