Normal forms for hypersurfaces of finite type in
M Kolár - arXiv preprint math/0609746, 2006 - arxiv.org
We construct normal forms for Levi degenerate hypersurfaces of finite type in $\mathbb C^
2$. As one consequence, an explicit solution to the problem of local biholomorphic …
2$. As one consequence, an explicit solution to the problem of local biholomorphic …
[HTML][HTML] Chern–Moser operators and polynomial models in CR geometry
M Kolar, F Meylan, D Zaitsev - Advances in Mathematics, 2014 - Elsevier
We consider the fundamental invariant of a real hypersurface in CN–its holomorphic
symmetry group–and analyze its structure at a point of degenerate Levi form. Generalizing …
symmetry group–and analyze its structure at a point of degenerate Levi form. Generalizing …
Analytic differential equations and spherical real hypersurfaces
I Kossovskiy, R Shafikov - Journal of Differential Geometry, 2016 - projecteuclid.org
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 …
nonminimal hypersurfaces $ M\subset\mathbb {C}^ 2$, spherical at a generic point, and a …
Divergent CR-equivalences and meromorphic differential equations
I Kossovskiy, R Shafikov - Journal of the European Mathematical Society, 2016 - ems.press
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 …
J. Eur. Math. Soc. 13, 2785–2819 c European Mathematical Society 2016 Ilya Kossovskiy …
Two decades of finite jet determination of CR mappings
Two decades of finite jet determination of CR mappings | Complex Analysis and its Synergies
Skip to main content SpringerLink Account Menu Find a journal Publish with us Track your …
Skip to main content SpringerLink Account Menu Find a journal Publish with us Track your …
Finite type hypersurfaces with divergent normal form
M Kolář - Mathematische Annalen, 2012 - Springer
We consider the convergence problem for normal forms on finite type hypersurfaces in
dimension two, constructed in Kolář (Math Res Lett 12: 897–910, 2005). Two families of …
dimension two, constructed in Kolář (Math Res Lett 12: 897–910, 2005). Two families of …
On the analyticity of CR-diffeomorphisms
I Kossovskiy, B Lamel - American Journal of Mathematics, 2018 - JSTOR
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 …
By I. KOSSOVSKIY and B. LAMEL Abstract. In any positive CR-dimension and CR-codimension …
Normal forms in Cauchy-Riemann geometry
M Kolar, I Kossovskiy, D Zaitsev - Contem. Math, 2017 - books.google.com
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 …
681 , 2017 http://dx. doi. org/10.1090/conm/681/13685 Normal forms in Cauchy-Riemann …
Analytic continuation of holomorphic mappings from nonminimal hypersurfaces
I Kossovskiy, R Shafikov - Indiana University Mathematics Journal, 2013 - JSTOR
We study the analytic continuation problem for a germ of a biholomorphic mapping from a
nonminimal real hypersurface M⊂ ℂn into a real hyperquadric 𝓠⊂ ℂℙn, and we prove that …
nonminimal real hypersurface M⊂ ℂn into a real hyperquadric 𝓠⊂ ℂℙn, and we prove that …
Remarks on the symmetries of a model hypersurface
M Kolář, F Meylan - Analysis Mathematica, 2022 - Springer
In this partly expository paper, we deal with sharp jet determination results following from a
generalization of the Chern—Moser theory to Levi degenerate hypersurfaces with …
generalization of the Chern—Moser theory to Levi degenerate hypersurfaces with …