On local geometry of finite multitype hypersurfaces
Kolář, Martin
Archivum Mathematicum, Tome 043 (2007), p. 459-466 / Harvested from Czech Digital Mathematics Library
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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.

Publié le : 2007-01-01
Classification:  32V15,  32V35,  32V40,  32Vxx 
@article{108084,
     author = {Martin Kol\'a\v r},
     title = {On local geometry of finite multitype hypersurfaces},
     journal = {Archivum Mathematicum},
     volume = {043},
     year = {2007},
     pages = {459-466},
     zbl = {1199.32042},
     mrnumber = {2381788},
     language = {en},
     url = {http://dml.mathdoc.fr/item/108084}
}

Kolář, Martin. On local geometry of finite multitype hypersurfaces. Archivum Mathematicum, Tome 043 (2007) pp. 459-466. http://gdmltest.u-ga.fr/item/108084/

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