Abstract

Let (M,p) and (M,p) be the germs of real-analytic 1-infinite type hypersurfaces in C². We prove that any formal equivalence sending (M,p) into (M,p) is formally parametrized (and hence uniquely determined by) its jet at p of a predetermined order depending only on (M,p). As an application, we use this to examine the local formal transformation groups of such hypersurfaces.

Keywords

real hypersurfaces, formal equivalence, jet determination

Mathematical Subject Classification

Primary: 32H12, 32V20

Authors