Formal biholomorphic maps of real analytic hypersurfaces Academic Article uri icon

abstract

  • Let f : (M, p) (M, p) be a formal biholomorphic mapping between two germs of real analytic hypersurfaces in n, p = f(p). Assuming the source manifold to be minimal at p, we prove the convergence of the so-called reflection function associated to f. As a consequence, we derive the convergence of formal biholomorphisms between real analytic minimal holomorphically nondegenerate hypersurfaces. Related results on partial convergence of formal biholomorphisms are also obtained.

published proceedings

  • Mathematical Research Letters

author list (cited authors)

  • Mir, N.

citation count

  • 14

complete list of authors

  • Mir, Nordine

publication date

  • December 2000