Unique determination of local C R -maps by their jets: a survey

Dmitri Zaitsev

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni (2002)

  • Volume: 13, Issue: 3-4, page 295-305
  • ISSN: 1120-6330

Abstract

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We survey results on unique determination of local C R -automorphisms of smooth C R -manifolds and of local biholomorphisms of real-analytic C R -submanifolds of complex spaces by their jets of finite order at a given point. Examples generalizing [28] are given showing that the required jet order may be arbitrarily high.

How to cite

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Zaitsev, Dmitri. "Unique determination of local $CR$-maps by their jets: a survey." Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni 13.3-4 (2002): 295-305. <http://eudml.org/doc/252388>.

@article{Zaitsev2002,
abstract = {We survey results on unique determination of local $CR$-automorphisms of smooth $CR$-manifolds and of local biholomorphisms of real-analytic $CR$-submanifolds of complex spaces by their jets of finite order at a given point. Examples generalizing [28] are given showing that the required jet order may be arbitrarily high.},
author = {Zaitsev, Dmitri},
journal = {Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni},
keywords = {Jets of biholomorphic maps; Real hypersurfaces of finite type; CR-manifolds},
language = {eng},
month = {12},
number = {3-4},
pages = {295-305},
publisher = {Accademia Nazionale dei Lincei},
title = {Unique determination of local $CR$-maps by their jets: a survey},
url = {http://eudml.org/doc/252388},
volume = {13},
year = {2002},
}

TY - JOUR
AU - Zaitsev, Dmitri
TI - Unique determination of local $CR$-maps by their jets: a survey
JO - Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni
DA - 2002/12//
PB - Accademia Nazionale dei Lincei
VL - 13
IS - 3-4
SP - 295
EP - 305
AB - We survey results on unique determination of local $CR$-automorphisms of smooth $CR$-manifolds and of local biholomorphisms of real-analytic $CR$-submanifolds of complex spaces by their jets of finite order at a given point. Examples generalizing [28] are given showing that the required jet order may be arbitrarily high.
LA - eng
KW - Jets of biholomorphic maps; Real hypersurfaces of finite type; CR-manifolds
UR - http://eudml.org/doc/252388
ER -

References

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