East Asian mathematical journal

The Youngnam Mathematical Society (영남수학회)
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THE 𝑎-NUMBER FOR SUPERELLIPTIC CURVES OF GENUS

  • Gyoyong Sohn (Department of Mathematics Education, Daegu National University of Education)
  • Received : 2026.04.14
  • Accepted : 2026.05.29
  • Published : 2026.05.31
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Abstract

This paper presents the 𝑎-number of superelliptic curves of genus 3 over a finite field using the action of the Cartier operator on H0 (C, Ω1 ). The 𝑎-number is an invariant of the p-torsion part of their Jacobians.

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References

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