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Journals / Hacettepe Journal of Mathematics and Statistics / 2026 / Volume: 51 Issue: 3

Characterization of plane to plane map germs by invariants

Saima Aslam(Government College University Faisalabad)0000-0002-4024-6027
Muhammad Ahsan Binyamin(Government College University Faisalabad)0000-0003-0717-7557
Pages
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Publication Date
2022-06-01
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⚡ TL;DR(Too Long; Didn't Read)

On the basis of this characterization we present an algorithm to classify the map germs of corank at most 1 1 from ( C 2 , 0 ) (C2,0) to ( C 2 , 0 ) (C2,0) with A A -codimension ≤ 6 ≤6 and also give its implementation in the computer algebra system SINGULAR.

📌 3 Key Takeaways

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Objective & Hypothesis:We characterize the map germs of corank at most 1 1 with A A -codimension ≤ 6 ≤6 in terms of certain invariants such as multiplicity and the number of cusps of map germs.
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Key Findings & Data:We characterize the map germs of corank at most 1 1 with A A -codimension ≤ 6 ≤6 in terms of certain invariants such as multiplicity and the number of cusps of map germs.
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Conclusion & Impact:On the basis of this characterization we present an algorithm to classify the map germs of corank at most 1 1 from ( C 2 , 0 ) (C2,0) to ( C 2 , 0 ) (C2,0) with A A -codimension ≤ 6 ≤6 and also give its implementation in the computer algebra system SINGULAR.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:map germ · $\mathcal{A}$-equivalence · codimension

Abstract

We characterize the map germs of corank at most 1 1 with A A -codimension ≤ 6 ≤6 in terms of certain invariants such as multiplicity and the number of cusps of map germs. On the basis of this characterization we present an algorithm to classify the map germs of corank at most 1 1 from ( C 2 , 0 ) (C2,0) to ( C 2 , 0 ) (C2,0) with A A -codimension ≤ 6 ≤6 and also give its implementation in the computer algebra system SINGULAR.

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Cite This Article

Aslam, S., Binyamin, M. A. (2022). Characterization of plane to plane map germs by invariants. Hacettepe Journal of Mathematics and Statistics, Volume: 51 Issue: 3. https://doi.org/10.15672/hujms.929810

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References (8)

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