The Catlin multitype and biholomorphic equivalence of models

Simple item page
dc.creatorKolar, Martin
dc.date2009-05-15
dc.date.accessioned2026-07-07T13:15:37Z
dc.date.available2026-07-07T13:15:37Z
dc.descriptionWe consider an alternative approach to a fundamental CR invariant - the Catlin multitype. It is applied to a general smooth hypersurface in $\mathbbC^{n+1}$, not necessarily pseudoconvex. Using this approach, we prove biholomorphic equivalence of models, and give an explicit description of biholomorphisms between different models. A constructive finite algorithm for computing the multitype is described. The results can be viewed a necessary step in understanding local biholomorphic equivalence of Levi degenerate hypersurfaces of finite Catlin multitype.
dc.identifierhttps://arxiv.org/abs/0905.2529
dc.identifierhttp://arxiv.org/abs/0905.2529
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/230526
dc.subjectComplex Variables
dc.subject32V35, 32V40
dc.titleThe Catlin multitype and biholomorphic equivalence of models
dc.typetext

Files

Collections

arXiv