Problem 12. Let q Î singV, W = T_{q} (V), P = (p_{k,k1})_{*} (W), P_{0} = ker(p_{k,k1}_{V})_{*,q}. Prove that P_{0} Ì T_{q} (l(P)), where l(P) is the sray, s = dimP.
Problem 13. Let an equation E Ì J^{2}(2,1)
be determined by the equality

Problem 14. Find the multivalued solution of the CauchyRiemann system corresponding to the analytic function w = 2/3 z^{3/2}. Show that 1) this solution has one singular point; 2) the type of this singular point is 2.
Problem 15. Find a finite intrinsic symmetry of the CauchyRiemann system E that maps vertical fibers of E to horizontal submanifolds. Also, find the image under this symmetry of the solution from the previous problem.
Exercise 12 Prove the theorem about the relation characteristic covectors of an equation E with points of its associated 1singularity equation E_{[1]}.
Exercise 13. Let E = {F = 0} Ì J^{1}(n,1).
Show that the vector field
