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Matematicheskie Zametki, 1996, Volume 59, Issue 1, Pages 42–52
DOI: https://doi.org/10.4213/mzm1692 (Mi mzm1692) 		 
This article is cited in 5 scientific papers (total in 5 papers)

Invariants of CR-manifolds associated with the tangent quadric

V. K. Beloshapka

M. V. Lomonosov Moscow State University, Faculty of Mechanics and Mathematics
Full-text PDF (206 kB) Citations (5)
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DOI: https://doi.org/10.4213/mzm1692
Abstract: We construct a system of $\operatorname{CR}$-invariants of a manifold generated by projective invariants of the tangent quadric. We present a description of the group of projective diffeomorphisms of a quartic. We also estimate the degree of a rational mapping of a quartic. The description problem for subgroups of a Cremona group of bounded degree is posed.
Received: 25.04.1994
English version:
Mathematical Notes, 1996, Volume 59, Issue 1, Pages 31–38
DOI: https://doi.org/10.1007/BF02312462
Bibliographic databases:
UDC: 517
Language: Russian
Citation: V. K. Beloshapka, “Invariants of CR-manifolds associated with the tangent quadric”, Mat. Zametki, 59:1 (1996), 42–52; Math. Notes, 59:1 (1996), 31–38
Citation in format AMSBIB
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\paper Invariants of CR-manifolds associated with the tangent quadric
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\pages 42--52
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\zmath{https://zbmath.org/?q=an:0935.32030}
\transl
\jour Math. Notes
\yr 1996
\vol 59
\issue 1
\pages 31--38
\crossref{https://doi.org/10.1007/BF02312462}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1996UP82900004}
Linking options:
  • https://www.mathnet.ru/eng/mzm1692
  • https://doi.org/10.4213/mzm1692
  • https://www.mathnet.ru/eng/mzm/v59/i1/p42
    • This publication is cited in the following 5 articles:
    1. V. K. Beloshapka, “Universal Models For Real Submanifolds”, Math. Notes, 75:4 (2004), 475–488  mathnet  crossref  crossref  mathscinet  zmath  isi  elib
    2. V. K. Beloshapka, “Real submanifolds in complex space: polynomial models, automorphisms, and classification problems”, Russian Math. Surveys, 57:1 (2002), 1–41  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib
    3. Beloshapka, VK, “Holomorphic classification of real manifolds of general type”, Doklady Akademii Nauk, 360:4 (1998), 442  mathnet  mathscinet  zmath  isi
    4. Beloshapka, VK, “CR-varieties of the type (1,2) as varieties of “super-high” codimension”, Russian Journal of Mathematical Physics, 5:3 (1997), 399  mathscinet  zmath  isi
    5. V. K. Beloshapka, “Local invariants and prohibitions on mappings of CR-manifolds”, Math. Notes, 60:4 (1996), 438–441  mathnet  crossref  crossref  mathscinet  zmath  isi  elib
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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