Key points are not available for this paper at this time.
This paper presents a formula for a-number of certain maximal curves characterized by the equation y^q+1{2} = xᵐ + x over the finite field Fₐℂ. a-number serves as an invariant for the isomorphism class of the p-torsion group scheme. Utilizing the action of the Cartier operator on H⁰ (X, ¹), we establish a closed formula for a-number of X.
Mosallaei et al. (Thu,) studied this question.