We establish an injective correspondence $ M\to\mathcal {E}(M) $ between real-analytic
nonminimal hypersurfaces $ M\subset\mathbb {C}^ 2$, spherical at a generic point, and a …

Divergent CR-equivalences and meromorphic differential equations Page 1 DOI 10.4171/JEMS/653
J. Eur. Math. Soc. 13, 2785–2819 c European Mathematical Society 2016 Ilya Kossovskiy …

In our recent work, we showed that C∞ CR-diffeomorphisms of real-analytic Levi-nonflat
hypersurfaces in ℂ2 are not analytic in general. This result raised again the question on the …

On the analyticity of CR-diffeomorphisms Page 1 ON THE ANALYTICITY OF CR-DIFFEOMORPHISMS
By I. KOSSOVSKIY and B. LAMEL Abstract. In any positive CR-dimension and CR-codimension …

Normal forms in Cauchy-Riemann geometry Page 162 Contemporary Mathematics Volume
681 , 2017 http://dx. doi. org/10.1090/conm/681/13685 Normal forms in Cauchy-Riemann …

We study germs of real analytic $ n $-dimensional submanifold of $\mathbf {C}^ n $ that has
a complex tangent space of maximal dimension at a CR singularity. Under some …

Infinitesimal CR Automorphisms and Stability Groups of Certain Nonminimal Real
Hypersurfaces in $$\mathbb {C}^2$$ | Vietnam Journal of Mathematics Skip to main content …

We prove that if two real-analytic hypersurfaces in $\mathbb C^ 2$ are equivalent formally,
then they are also $ C^\infty $ CR-equivalent at the respective point. As a corollary, we prove …

We solve the local equivalence problem for ruled hypersurfaces in C^2 at a point of infinite
type by giving a normal form. We describe all ruled hypersurfaces which admit nonlinear …

We apply the multisummability theory from Dynamical Systems to CR-geometry. As the main
result, we show that two real-analytic hypersurfaces in C 2 are formally equivalent, if and …