Work

On sesquilinear forms over finite fields

Year: 2026

Type: article

Abstract: We develop a theory of sesquilinear forms over finite fields, investigating their representations via polynomials and coefficient matrices, along with classification results for these forms. Through their connection to quadratic forms, we calculate certain character sums to resolve enumeration problems for equations defined by sesquilinear forms. This provides a characterization of a class of maximal or minimal Artin-Schreier curves with explicit examples.

Source: Finite Fields and Their Applications

DOI: 10.1016/j.ffa.2026.102833

Author: Ruikai Chen

Institution: South China Normal University

Language: English

Topic: Algebraic Geometry and Number Theory

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $2,720

Funder: National Natural Science Foundation of China