# On local geometry of finite multitype hypersurfaces

Archivum Mathematicum (2007)

- Volume: 043, Issue: 5, page 459-466
- ISSN: 0044-8753

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topKolář, Martin. "On local geometry of finite multitype hypersurfaces." Archivum Mathematicum 043.5 (2007): 459-466. <http://eudml.org/doc/250169>.

@article{Kolář2007,

abstract = {This paper studies local geometry of hypersurfaces of finite multitype. Catlin’s definition of multitype is applied to a general smooth hypersurface in $\mathbb \{C\}^\{n+1\}$. We prove biholomorphic equivalence of models in dimension three and describe all biholomorphisms between such models. A finite constructive algorithm for computing multitype is described. Analogous results for decoupled hypersurfaces are given.},

author = {Kolář, Martin},

journal = {Archivum Mathematicum},

keywords = {finite type; Catlin’s multitype; model hypersurfaces; biholomorphic equivalence; decoupled domains; finite type; Catlin's multitype; model hypersurfaces; biholomorphic equivalence; decoupled domains},

language = {eng},

number = {5},

pages = {459-466},

publisher = {Department of Mathematics, Faculty of Science of Masaryk University, Brno},

title = {On local geometry of finite multitype hypersurfaces},

url = {http://eudml.org/doc/250169},

volume = {043},

year = {2007},

}

TY - JOUR

AU - Kolář, Martin

TI - On local geometry of finite multitype hypersurfaces

JO - Archivum Mathematicum

PY - 2007

PB - Department of Mathematics, Faculty of Science of Masaryk University, Brno

VL - 043

IS - 5

SP - 459

EP - 466

AB - This paper studies local geometry of hypersurfaces of finite multitype. Catlin’s definition of multitype is applied to a general smooth hypersurface in $\mathbb {C}^{n+1}$. We prove biholomorphic equivalence of models in dimension three and describe all biholomorphisms between such models. A finite constructive algorithm for computing multitype is described. Analogous results for decoupled hypersurfaces are given.

LA - eng

KW - finite type; Catlin’s multitype; model hypersurfaces; biholomorphic equivalence; decoupled domains; finite type; Catlin's multitype; model hypersurfaces; biholomorphic equivalence; decoupled domains

UR - http://eudml.org/doc/250169

ER -

## References

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