The University of Dublin | Trinity College -- Ollscoil Átha Cliath | Coláiste na Tríonóide
Trinity's Access to Research Archive
Home :: Log In :: Submit :: Alerts ::

School of Mathematics >
Pure & Applied Mathematics >
Pure & Applied Mathematics (Scholarly Publications) >

Please use this identifier to cite or link to this item:

Title: Approximation and convergence of formal CR-mappings
Author's Homepage:
Keywords: Pure & Applied Mathematics
Issue Date: 2003
Publisher: Oxford University Press
Citation: Meylan, Francine; Mir, Nordine; Zaitsev, Dmitri 'Approximation and convergence of formal CR-mappings' International Mathematics Research Notes, 2003, (4), 2002 pp 211 - 242
Series/Report no.: International Mathematics Research Notes
Abstract: Let M ⊂ CN be a minimal real-analytic CR-submanifold and M′ ⊂ CN′ a realalgebraic subset through points p ∈ M and p′ ∈ M′. We show that that any formal (holomorphic) mapping f : (CN, p) → (CN′ , p′), sending M into M′, can be approximated up to any given order at p by a convergent map sending M into M′. If M is furthermore generic, we also show that any such map f, that is not convergent, must send (in an appropriate sense) M into the set E′ ⊂ M′ of points of D’Angelo infinite type. Therefore, if M′ does not contain any nontrivial complex-analytic subvariety through p′, any formal map f as above is necessarily convergent.
Description: PUBLISHED
Appears in Collections:Pure & Applied Mathematics (Scholarly Publications)

Files in This Item:

File Description SizeFormat
Approximation and convergence.pdfpublished (author copy) peer-reviewed386.01 kBAdobe PDFView/Open

This item is protected by original copyright

Please note: There is a known bug in some browsers that causes an error when a user tries to view large pdf file within the browser window. If you receive the message "The file is damaged and could not be repaired", please try one of the solutions linked below based on the browser you are using.

Items in TARA are protected by copyright, with all rights reserved, unless otherwise indicated.


Valid XHTML 1.0! DSpace Software Copyright © 2002-2010  Duraspace - Feedback