1.Use tools like Cartier operator, Manin’s theory, p-divisible group and cohomology, etc, to give some calculation on the classification of the algebraic curves;
By considering further the maps from the moduli of ordinary curves to the Hilbert Scheme constructed warrants further and deeper consideration,since this gives us the possibility and chance to give an explicit description of classification problem on the level p structure of Jacobians associated to algebraic curves.