Model Pseudoconvex Domains and Bumping


Autoria(s): Bharali, Gautam
Data(s)

2012

Resumo

The Levi geometry at weakly pseudoconvex boundary points of domains in C-n, n >= 3, is sufficiently complicated that there are no universal model domains with which to compare a general domain. Good models may be constructed by bumping outward a pseudoconvex, finite- type Omega subset of C-3 in such a way that: (i) pseudoconvexity is preserved, (ii) the (locally) larger domain has a simpler defining function, and (iii) the lowest possible orders of contact of the bumped domain with partial derivative Omega, at the site of the bumping, are realized. When Omega subset of C-n, n >= 3, it is, in general, hard to meet the last two requirements. Such well-controlled bumping is possible when Omega is h-extendible/semiregular. We examine a family of domains in C-3 that is strictly larger than the family of h-extendible/semiregular domains and construct explicit models for these domains by bumping.

Formato

application/pdf

Identificador

http://eprints.iisc.ernet.in/45514/1/Int_Math_Res_Notices_21_4924_2012.pdf

Bharali, Gautam (2012) Model Pseudoconvex Domains and Bumping. In: INTERNATIONAL MATHEMATICS RESEARCH NOTICES (21). pp. 4924-4965.

Publicador

OXFORD UNIV PRESS,

Relação

http://dx.doi.org/10.1093/imrn/rnr210

http://eprints.iisc.ernet.in/45514/

Palavras-Chave #Mathematics
Tipo

Journal Article

PeerReviewed