Key points are not available for this paper at this time.
If we make this assumption it follows that 2JÎ annuls dA/dyi r, where r is the order of A in y x. Let s be the order of A in y%. We form the resultant R of A and dA/dyi r, considered as algebraic polynomials in y% 8. Since A is irreducible, and cannot be a factor of dA/dyi r, R is a nonzero polynomial, free of y% 9, which is annulled by 9K. Since R is of lower efiective order than A in y%, 5DÎ must be an essential singular manifold of A relative to y^ The proof is now complete.
Marshall Hall (Thu,) studied this question.