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Infinite Transitivity on Affine Varieties

  • Ivan Arzhantsev
  • Hubert Flenner
  • Shulim Kaliman
  • Frank Kutzschebauch
  • Mikhail Zaidenberg
Chapter

Abstract

In this note we survey recent results on automorphisms of affine algebraic varieties, infinitely transitive group actions and flexibility. We present related constructions and examples, and discuss geometric applications and open problems.

Keywords

Algebraic Group Pezzo Surface Affine Space Open Orbit Affine Variety 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer Science+Business Media New York 2013

Authors and Affiliations

  • Ivan Arzhantsev
    • 1
  • Hubert Flenner
    • 2
  • Shulim Kaliman
    • 3
  • Frank Kutzschebauch
    • 4
  • Mikhail Zaidenberg
    • 5
  1. 1.Department of Higher Algebra, Faculty of Mechanics and MathematicsMoscow State UniversityMoscowRussia
  2. 2.Fakultät für MathematikRuhr Universität BochumBochumGermany
  3. 3.Department of MathematicsUniversity of MiamiCoral GablesUSA
  4. 4.Mathematisches InstitutUniversität BernBernSwitzerland
  5. 5.Université Grenoble ISt. Martin d’HèresFrance

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