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Compressible Finite Groups of Birational Automorphisms

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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. J. Blanc, These, No. 3777 (Genève, 2006). arXiv:math.AG/0610368.

    Google Scholar 

  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.

    MathSciNet  MATH  Google Scholar 

  3. Vik. S. Kulikov and E. I. Shustin, Proc. Steklov Inst. Math. 298, 133–151 (2017).

    Article  Google Scholar 

  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.

    MathSciNet  MATH  Google Scholar 

  5. V. L. Popov, Proc. Steklov Inst. Math. 289, 221–226 (2015).

    Article  MathSciNet  Google Scholar 

  6. V. L. Popov, Question session. Cremona Conference, Basel, Switzerland, September 5–16, 2016.

    Google Scholar 

  7. V. L. Popov, Math. Notes 102 (1), 60–67 (2017).

    Article  MathSciNet  Google Scholar 

  8. V. V. Przyjalkowski and C. A. Shramov, Proc. Steklov Inst. Math. 294, 154–175 (2016).

    Article  Google Scholar 

  9. Yu. G. Prokhorov, Izv. Math. 79 (4), 795–808 (2015).

    Article  MathSciNet  Google Scholar 

  10. Yu. Prokhorov and C. Shramov, Mosc. Math. J. 17 (3), 457–509 (2017).

    MathSciNet  Google Scholar 

  11. Z. Reichstein, Transform. Groups 5 (3), 265–304 (2000).

    Article  MathSciNet  Google Scholar 

  12. Z. Reichstein and B. Youssin, Can. J. Math. 52 (5), 1018–1056 (2000).

    Article  Google Scholar 

  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.

    Article  MathSciNet  MATH  Google Scholar 

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Authors and Affiliations

  1. Steklov Mathematical Institute, Russian Academy of Sciences, Moscow, 119991, Russia

    V. L. Popov

  2. National Research University, Higher School of Economics, Moscow, 101000, Russia

    V. L. Popov

Authors
  1. V. L. Popov
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Correspondence to V. L. Popov.

Additional information

Original Russian Text © V.L. Popov, 2018, published in Doklady Akademii Nauk, 2018, Vol. 482, No. 1.

The article was translated by the author.

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Popov, V.L. Compressible Finite Groups of Birational Automorphisms. Dokl. Math. 98, 413–415 (2018). https://doi.org/10.1134/S1064562418060042

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