  Let M be a connected real-analytic hypersurface in N-dimensional complex
euclidean space whose Levi form is nondegenerate at some point. We prove that
for every point p in M, there exists an integer k=k(M,p) such that germs at p
of local real-analytic CR automorphisms of M are uniquely determined by their
k-jets (at p). To prove this result we develop a new technique that can be seen
as a resolution of the degeneracies of M. This procedure consists of blowing up
M near an arbitrary point p in M regardless of its minimality or nonminimality;
then, thanks to the blow-up, the original problem can be reduced to an
analogous one for a very special class of nonminimal hypersurfaces for which
one may use known techniques to prove the finite jet determination property of
its CR automorphisms.
