Abstract:We develop a classification theory for real-analytic hypersurfaces in
C
2
\mathbb {C}^{2}
in the case when the hypersurface is of infinite type at the reference point. This is the remaining, not yet understood case in
C
2
\mathbb {C}^{2}
in the Problème local, formulated by H. Poincaré in 1907 and asking for a complete biholomorphic classification of real hypersurfaces in comp… Show more
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