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Normal forms for hypersurfaces of finite type in C^2
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 equivalence is obtained. Another consequence determ...
BA - Obecná matematika
- 2005 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Degenerate hypersurfaces with a two-parametric family of automorphisms
forsuch hypersurfaces, which follows from the construction of Chern-Moser type normal forms at points of finite type, developed in [M. Kolar, Normal forms for hypersurfaces of finite type
BA - Obecná matematika
- 2009 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Local symmetries of finite type hypersurfaces in C^2.
The paper gives a complete description of local automorphism groups for Levi degenerate hypersurfaces of finite type in C^2. It is also proved that, with the exception of hypersurfaces of the form v = |z|^k local a...
BA - Obecná matematika
- 2006 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Local equivalence of symmetric hypersurfaces in C^2
The Chern-Moser normal form and its analog on finite type hypersurfaces the local equivalence problem for symmetric Levi degenerate hypersurfaces of finite type in $ mathbb{C}^2$. The results give...
BA - Obecná matematika
- 2010 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Finite type hypersurfaces with divergent normal form
We consider the convergence problem for normal forms on finite type hypersurfaces in dimension two, constructed in Kolar (Math Res Lett 12:897-910, 2005). Two families of examples of hypersurfaces with divergent no...
BA - Obecná matematika
- 2012 •
- Jx •
- Link
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Výsledek na webu
Infinitesimal CR automorphisms of hypersurfaces of finite type in ${mathbb{C}}^2$
We study the Chern-Moser operator for hypersurfaces of finite type in $Bbb C^2.$ Analysing its kernel, we derive explicit results on jet determination for the stability group, and give a description of infinitesimal CR auto...
BA - Obecná matematika
- 2011 •
- Jx •
- Link
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Výsledek na webu
Normal Forms and Symmetries of Real Hypersurfaces of Finite Type in C-2
We give a complete description of normal forms for real hypersurfaces of finite type in C-2 with respect to their holomorphic symmetry algebras. The normal forms of the hypersurface for every type of its s...
BA - Obecná matematika
- 2013 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Remarks on the Symmetries of a Model Hypersurface
hypersurfaces with polynomial models, as obtained in [30]. We formulate the jet determination results for finitely smooth hypersurfaces of finite type. Another goal of the paper is to gain more understand...
Pure mathematics
- 2022 •
- Jimp •
- Link
Rok uplatnění
Jimp - Článek v periodiku v databázi Web of Science
Výsledek na webu
HIGHER ORDER SYMMETRIES OF REAL HYPERSURFACES IN C-3
nondegenerate case, or in the case of finite type hypersurfaces in C-2. We analyze this phenomenon for hypersurfaces of finite Catlin multitype with holomorphicallyWe study nonlinear automorphisms of Levi...
BA - Obecná matematika
- 2016 •
- Jx •
- Link
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Výsledek na webu
Generalized models and local invariants of Kohn-Nirenberg domains
nonconvexifiable hypersurfaces of finite type in dimension two. It is expressed in terms of a generalized model, which captures local geometry of the hypersurface both in the complex type on weakly pseudo...
BA - Obecná matematika
- 2008 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
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