Local invariants of weakly pseudoconvex manifolds in C^2

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Authors

KOLÁŘ Martin

Year of publication 2005
Type Article in Proceedings
Conference Differential Geometry and Applications, Proceeding of the 9th International conference, 30.8. - 3.9. 2004 Prague
MU Faculty or unit

Faculty of Science

Citation
Field General mathematics
Keywords weakly pseudoconvex manifold; Kohn-Nirenberg invariant
Description The subject of this paper is local geometry of weakly pseudoconvex hypersurfaces in C^2. In the first part we define a set of real valued local biholomorphic invariants. Then we survey some previous results, reformulated in terms of these invariants, which show that they carry important information on local geometry. In the last part we introduce generalized model hypersurfaces, which reveal another invariant, with rational values.
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