2 problems

Real-analyticity conjecture. On the complement of a discrete set of points, the functions $\lambda$, $a_i$, and $b_j$ are real-analytic in the variables $x_1,x_2$.

Let $M1 earrow .mathbb C^{n+1}$ and $M2subset .mathbb C^{n+k}$, with $kgeq 2$ and $ngeq 1$, be real analytic hypersurfaces. Assume that $M1$ is of finite type, $M2$ is strongly pse…