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Matematicheskie Zametki, 2005, Volume 78, Issue 2, Pages 171–179
DOI: https://doi.org/10.4213/mzm2574 (Mi mzm2574) 		 
This article is cited in 13 scientific papers (total in 13 papers)

Symmetries of Real Hypersurfaces in Complex 3-Space

V. K. Beloshapka

M. V. Lomonosov Moscow State University, Faculty of Mechanics and Mathematics
Full-text PDF (188 kB) Citations (13)
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DOI: https://doi.org/10.4213/mzm2574
Abstract: The main result of the paper consists in the proof of the fact that for any germ of a real analytic hypersurface in complex 3-space the following alternative (dimension conjecture) takes place: either the dimension of the group of holomorphic symmetries of the germ is at most the dimension of that of a nondegenerate hyperquadric (the latter equals 15), or the group is infinite-dimensional. We also discuss mistakes found in A. Ershova's paper.
Received: 05.07.2004
Revised: 10.12.2004
English version:
Mathematical Notes, 2005, Volume 78, Issue 2, Pages 156–163
DOI: https://doi.org/10.1007/s11006-005-0111-2
Bibliographic databases:
UDC: 514.764
Language: Russian
Citation: V. K. Beloshapka, “Symmetries of Real Hypersurfaces in Complex 3-Space”, Mat. Zametki, 78:2 (2005), 171–179; Math. Notes, 78:2 (2005), 156–163
Citation in format AMSBIB
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    • This publication is cited in the following 13 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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