Displaying similar documents to “Macaulay's theorem and local Torelli for weighted hypersurfaces”

On local geometry of finite multitype hypersurfaces

Martin Kolář (2007)

Archivum Mathematicum

Similarity:

This paper studies local geometry of hypersurfaces of finite multitype. Catlin’s definition of multitype is applied to a general smooth hypersurface in 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.