On the existence of superspecial and maximal nonhyperelliptic curves of genera four and five
On the existence of superspecial and maximal nonhyperelliptic curves of genera four and five
A curve over a perfect field $K$ of characteristic $p > 0$ is said to be superspecial if its Jacobian is isomorphic to a product of supersingular elliptic curves over the algebraic closure $\overline{K}$. In recent years, isomorphism classes of superspecial nonhyperelliptic curves of genus $4$ over finite fields in …