An algebraic characterization of holomorphic nondegeneracy for real algebraic hypersurfaces and its application to CR mappings

abstract

• We give a new algebraic characterization of holomorphic nondegeneracy for embedded real algebraic hypersurfaces in N+1, N 1. We then use this criterion to prove the following result about real analyticity of smooth CR mappings : any smooth CR mapping H between a real analytic hypersurface and a rigid polynomial holomorphically nondegenerate hypersurface is real analytic, provided the map H is not totally degenerate in the sense of Baouendi and Rothschild.

authors

• Mir, Nordine

published proceedings

• Mathematische Zeitschrift

author list (cited authors)

• Mir, N.

citation count

• 2

complete list of authors

• Mir, Nordine

publication date

• May 1999

publisher

• Springer Nature  Publisher

published in

• Mathematische Zeitschrift  Journal

Digital Object Identifier (DOI)

• 10.1007/pl00004723

start page

• 189

end page

• 202

volume

• 231

issue

• 1

URL

• http://dx.doi.org/10.1007/pl00004723