Finite Jet Determination of Local CR Automorphisms through Resolution of Degeneracies Academic Article uri icon


  • Let M N be a connected real-analytic hypersurface Levi form is nondegenerate at some point. We prove that for every point p M, there exists an integer k = k(M,p) such that germs at p of local realoanalytic CR automorphisms of M are uniquely determined by their k-jets (ar 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 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. 2007 International Press.

published proceedings

  • Asian Journal of Mathematics

author list (cited authors)

  • Lamel, B., & Mir, N.

citation count

  • 8

complete list of authors

  • Lamel, Bernhard||Mir, Nordine

publication date

  • January 2007