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Matematicheskie Zametki, 1978, Volume 23, Issue 2, Pages 183–195 (Mi mzm8132)  

This article is cited in 5 scientific papers (total in 5 papers)

Algebraic curves with an infinite automorphism group

V. L. Popov

Moscow Institute of Electronic Engineering
Abstract: Irreducible algebraic curves X (not necessarily smooth and complete) for which the group AutX of biregular automorphisms is infinite are classified. Applications of the results obtained to the theory of algebraic transformation groups are given.
Received: 06.04.1976
English version:
Mathematical Notes, 1978, Volume 23, Issue 2, Pages 102–108
DOI: https://doi.org/10.1007/BF01153148
Bibliographic databases:
Document Type: Article
UDC: 512
Language: Russian
Citation: V. L. Popov, “Algebraic curves with an infinite automorphism group”, Mat. Zametki, 23:2 (1978), 183–195; Math. Notes, 23:2 (1978), 102–108
Citation in format AMSBIB
\Bibitem{Pop78}
\by V.~L.~Popov
\paper Algebraic curves with an infinite automorphism group
\jour Mat. Zametki
\yr 1978
\vol 23
\issue 2
\pages 183--195
\mathnet{http://mi.mathnet.ru/mzm8132}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=506291}
\zmath{https://zbmath.org/?q=an:0406.14018|0382.14017}
\transl
\jour Math. Notes
\yr 1978
\vol 23
\issue 2
\pages 102--108
\crossref{https://doi.org/10.1007/BF01153148}
Linking options:
  • https://www.mathnet.ru/eng/mzm8132
  • https://www.mathnet.ru/eng/mzm/v23/i2/p183
  • This publication is cited in the following 5 articles:
    1. Ivan V. Arzhantsev, Yulia I. Zaitseva, Kirill V. Shakhmatov, “Homogeneous Algebraic Varieties and Transitivity Degree”, Proc. Steklov Inst. Math., 318 (2022), 13–25  mathnet  crossref  crossref  mathscinet
    2. V. L. Popov, “Jordan groups and automorphism groups of algebraic varieties”, Springer Proc. Math. Statist., 79 (2014), 185–213  mathnet  crossref  scopus
    3. Popov V.L., “On the Makar-Limanov, Derksen Invariants, and Finite Automorphism Groups of Algebraic Varieties”, Affine Algebraic Geometry: the Russell Festschrift, CRM Proceedings & Lecture Notes, 54, eds. Daigle D., Ganong R., Koras M., Amer Mathematical Soc, 2011, 289–311  isi
    4. V. L. Popov, “Algebraic Cones”, Math. Notes, 86:6 (2009), 892–894  mathnet  crossref  crossref  mathscinet  zmath  isi
    5. V. L. Popov, E. B. Vinberg, Encyclopaedia of Mathematical Sciences, 55, Algebraic Geometry IV, 1994, 123  crossref
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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