Uniqueness of Skabelund Maximal Curves via Genus and Automorphism Groups | Synapse
September 28, 2025Open Access
Uniqueness of Skabelund Maximal Curves via Genus and Automorphism Groups
Key Points
Maximal skabelund curves are uniquely determined by their genus and automorphism group structure, indicating a strong link between these properties.
The study shows that these curves can be characterized distinctly up to isomorphism based on their genus and group characteristics.
Analysis of maximal skabelund curves utilized a detailed genus-automorphism framework to illustrate their unique features.
Understanding the unique properties of skabelund curves may enhance the study of algebraic structures in higher mathematics.
Abstract
We present a genus-automorphism characterization of maximal Skabelund curves, showing that they are uniquely determined up to Fₐ-isomorphism by their genus and automorphism group structure.