Monodromy of projections of hypersurfaces

Abstract Let X be an irreducible, reduced complex projective hypersurface of degree d . A point P not contained in is called uniform if the monodromy group projection from isomorphic to symmetric $$S_d$$ S d We prove that locus non-uniform points finite when smooth or a general variety. In general, it union linear spaces codimension at least 2, except possibly for special class hypersurfaces with singular 1. Moreover, we generalise result Fukasawa and Takahashi on finiteness Galois points.