1.Consider the some explicit models of curve say, like the Picard curves, hyperelliptic curves and other non-hyperelliptic curves, we want to try to say more things on the classification of the p-divisible group J(p). We can use the Cartier operators and the Manin’s rerults to do some calculation in order to do the classification;
2.In their paper ‘Canonical lift of Jacobian’, B.Dwork and A.Ogus reminded that the map from the moduli of ordinary curves to the Hilbert Scheme constructed warrants further and deeper consideration. We want to do some research on such map especially its role in the classification problem.