2 problems

Let $n\in\mathbb N$ and let $p$ be an odd prime. Consider the Artin–Schreier curve defined by … Write $a(X)$ for its $a$-number and $L(np^2-1)$ for the lower bound introduced in th…

Let $C$ be a curve of genus $g$ over a field of characteristic $p>0$. Write $a(C)$ for the a-number of its Jacobian, and let $r$ be the rank of the Cartier operator on…