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On the classification of simple maps from the plane to the plane

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Publication:4588391
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DOI10.1142/S0219498817501997zbMath1386.14204OpenAlexW2553630605MaRDI QIDQ4588391

Muhammad Ahsan Binyamin, Shamsa Kanwal, Hasan Mahmood

Publication date: 26 October 2017

Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0219498817501997


zbMATH Keywords

codimensioncritical setsimple maps


Mathematics Subject Classification ID

Computational aspects of algebraic curves (14Q05) Singularities of curves, local rings (14H20)


Related Items (3)

Characterization of plane to plane map germs by invariants ⋮ Recognition of unimodal map germs from the plane to the plane by invariants ⋮ Contact unimodal map germs from the plane to the plane


Uses Software

  • SINGULAR
  • classifyMapGerms


Cites Work

  • On singularities of mappings of Euclidean spaces. I. Mappings of the plane into the plane
  • Singularities of systems of rays
  • Projections and reflections of generic surfaces in $\mathsf{R}^3$
  • Two-Parameter Families of Plane Caustics by Reflexion
  • A Singular Introduction to Commutative Algebra
  • Families of Maps from the Plane to The Plane




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