Galois points for smooth hypersurfaces

Let V be a smooth hypersurface in . We consider a projection of V from to a hyperplane H. This projection induces an extension of fields k(V)/k(H), which does not depend on the choice of H. We study the structures of this extension and the hypersurfaces together. The point P is called a Galois point if the extension is Galois. We show estimates of the number of the Galois points and some rules of their distributions. Especially we give the defining equation of V with maximal number of Galois points