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تسجيل مستخدم جديدThe a-numbers of Jacobians of Suzuki curves
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For $m in {mathbb N}$, let $S_m$ be the Suzuki curve defined over ${mathbb F}_{2^{2m+1}}$. It is well-known that $S_m$ is supersingular, but the p-torsion group scheme of its Jacobian is not known. The a-number is an invariant of the isomorphism class of the p-torsion group scheme. In this paper, we compute a closed formula for the a-number of $S_m$ using the action of the Cartier operator on $H^0(S_m,Omega^1)$.
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