Algebraic curves with an infinite automorphism group

  • V. L. Popov


Irreducible algebraic curves X (not necessarily smooth and complete) for which the group Aut X of biregular automorphisms is infinite are classified. Applications of the results obtained to the theory of algebraic transformation groups are given.


Automorphism Group Transformation Group Algebraic Curf Algebraic Transformation Algebraic Transformation Group 
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Literature cited

  1. 1.
    M. Rosenlicht, “Equivalence relations on algebraic curves,” Matematika,5, No. 1, 3–31 (1961).Google Scholar
  2. 2.
    J.-P. Serre, Groupes Algébriques et Corps de Classes, Hermann, Paris.Google Scholar
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    H. Sumihiro, “Equivariant completion. I,” J. Math. Kyoto Univ.,14, 1–28 (1974).Google Scholar
  4. 4.
    W. J. Haboush, “Reductive groups are geometrically reductive,” Ann. Math.,102, 67–83 (1975).Google Scholar

Copyright information

© Plenum Publishing Corporation 1978

Authors and Affiliations

  • V. L. Popov
    • 1
  1. 1.Moscow Institute of Electrical EngineeringUSSR

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