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