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Convergent normal form for real hypersurfaces at a generic Levi-degeneracy
normal form for a Levi-degenerate hypersurface. As an application of the convergence-analytic hypersurfaces with a generic Levi-degeneracy. As another application, we the Levi-degeneracy set that...
Pure mathematics
- 2019 •
- Jimp •
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Jimp - Článek v periodiku v databázi Web of Science
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HIGHER ORDER SYMMETRIES OF REAL HYPERSURFACES IN C-3
We study nonlinear automorphisms of Levi degenerate hypersurfaces of finite the origin of nonlinear automorphisms of Levi degenerate hypersurfaces, formulated fields of arbitrarily high degree, wh...
BA - Obecná matematika
- 2016 •
- Jx •
- Link
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Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
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Higher Order invariants of Levi Degenerate Hypersurfaces
We characterize Levi degenerate manifolds of finite type with finite local automorphism groups. The Kohn-Nirenberg phenomenon in dimensions greater then two is investigated....
BA - Obecná matematika
- 2010 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Regularity of CR-mappings of codimension one into Levi-degenerate hypersurfaces
We provide regularity results for CR-maps from a real hypersur- face in n-dimensional complex space to a Levi-degenerate target hypersurface in a n + 1-dimensional space. We address both the real-analytic and the smooth cas...
Pure mathematics
- 2021 •
- Jimp •
- Link
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Jimp - Článek v periodiku v databázi Web of Science
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Local equivalence of symmetric hypersurfaces in C^2
the local equivalence problem for symmetric Levi degenerate hypersurfaces of finite type in $ mathbb{C}^2$. The results give complete normalizations for such hypersurfaces, which respect the symmetries. In particu...
BA - Obecná matematika
- 2010 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Infinitesimal CR automorphisms for a class of polynomial models
We study infinitesimal CR automorphisms of Levi degenerate hypersurfaces. We illustrate our recent general results on a class of concrete examples, polynomial models in C^3. We classify such models according to their Lie al...
Pure mathematics
- 2017 •
- Jimp •
- Link
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Jimp - Článek v periodiku v databázi Web of Science
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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
We give a complete classification of Levi-degenerate hypersurfaces of finite type in C^2 with two-dimensional symmetry groups. Our analysis is based forsuch hypersurfaces, which follows from the construction of Che...
BA - Obecná matematika
- 2009 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Chern-Moser operators and polynomial models in CR geometry
We consider the fundamental invariant of a real hypersurface in C-N - its holomorphic symmetry group - and analyze its structure at a point of degenerate Levi form. Generalizing the Chern-Moser operator to hypersurfaces...
BA - Obecná matematika
- 2014 •
- Jx •
- Link
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Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
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Remarks on the Symmetries of a Model Hypersurface
following from a generalization of the Chern—Moser theory to Levi degenerate hypersurfaces with polynomial models, as obtained in [30]. We formulate the jet determination results for finitely smooth hypersurfaces ...
Pure mathematics
- 2022 •
- Jimp •
- Link
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Jimp - Článek v periodiku v databázi Web of Science
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