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Doklady Mathematics

, Volume 98, Issue 2, pp 413–415 | Cite as

Compressible Finite Groups of Birational Automorphisms

  • V. L. Popov
Mathematics
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Abstract

The compressibility of certain types of finite groups of birational automorphisms of algebraic varieties is established.

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References

  1. 1.
    J. Blanc, These, No. 3777 (Genève, 2006). arXiv:math.AG/0610368.Google Scholar
  2. 2.
    I. V. Dolgachev and V. A. Iskovskikh, “Finite subgroups of the plane Cremona group,” Algebra, Arithmetic, and Geometry: In Honor of Yu.I. Manin, Vol. 1: Progress in Mathematics (Birkhäuser, Boston, 2009), vol. 269, pp. 443–548.MathSciNetzbMATHGoogle Scholar
  3. 3.
    Vik. S. Kulikov and E. I. Shustin, Proc. Steklov Inst. Math. 298, 133–151 (2017).CrossRefGoogle Scholar
  4. 4.
    V. L. Popov, “Jordan groups and automorphism groups of algebraic varieties,” Automorphisms in Birational and Affine Geometry (Springer, Heidelberg, 2014), vol. 79, pp. 185–213.MathSciNetzbMATHGoogle Scholar
  5. 5.
    V. L. Popov, Proc. Steklov Inst. Math. 289, 221–226 (2015).MathSciNetCrossRefGoogle Scholar
  6. 6.
    V. L. Popov, Question session. Cremona Conference, Basel, Switzerland, September 5–16, 2016.Google Scholar
  7. 7.
    V. L. Popov, Math. Notes 102 (1), 60–67 (2017).MathSciNetCrossRefGoogle Scholar
  8. 8.
    V. V. Przyjalkowski and C. A. Shramov, Proc. Steklov Inst. Math. 294, 154–175 (2016).CrossRefGoogle Scholar
  9. 9.
    Yu. G. Prokhorov, Izv. Math. 79 (4), 795–808 (2015).MathSciNetCrossRefGoogle Scholar
  10. 10.
    Yu. Prokhorov and C. Shramov, Mosc. Math. J. 17 (3), 457–509 (2017).MathSciNetGoogle Scholar
  11. 11.
    Z. Reichstein, Transform. Groups 5 (3), 265–304 (2000).MathSciNetCrossRefGoogle Scholar
  12. 12.
    Z. Reichstein and B. Youssin, Can. J. Math. 52 (5), 1018–1056 (2000).CrossRefGoogle Scholar
  13. 13.
    Z. Reichstein, “Compression of group actions,” Invariant Theory in All Characteristics, CRM Proceedings and Lecture Notes (Am. Math. Soc., Providence, RI, 2004), Vol. 35, pp. 199–202.MathSciNetCrossRefzbMATHGoogle Scholar

Copyright information

© Pleiades Publishing, Ltd. 2018

Authors and Affiliations

  1. 1.Steklov Mathematical InstituteRussian Academy of SciencesMoscowRussia
  2. 2.National Research UniversityHigher School of EconomicsMoscowRussia

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