Singularities and multiplier algorithms for real hypersurfaces

We consider Kohn’s method to generate subelliptic multipliers for the ∂¯-Neumann problem. For a domain defined by a real polynomial, we prove that Kohn’s algorithm is effective in terms of the degree. We then give geometric conditions under which effectiveness results in the holomorphic setting extend to the real analytic setting. We discuss related questions on the boundary geometry at Levi degenerate points