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Infinite Transitivity on Affine Varieties

In: Birational Geometry, Rational Curves, and Arithmetic

Author

Listed:
  • Ivan Arzhantsev

    (Moscow State University, Department of Higher Algebra, Faculty of Mechanics and Mathematics)

  • Hubert Flenner

    (Ruhr Universität Bochum, Fakultät für Mathematik)

  • Shulim Kaliman

    (University of Miami, Department of Mathematics)

  • Frank Kutzschebauch

    (Universität Bern, Mathematisches Institut)

  • Mikhail Zaidenberg

    (Université Grenoble I)

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.

Suggested Citation

  • Ivan Arzhantsev & Hubert Flenner & Shulim Kaliman & Frank Kutzschebauch & Mikhail Zaidenberg, 2013. "Infinite Transitivity on Affine Varieties," Springer Books, in: Fedor Bogomolov & Brendan Hassett & Yuri Tschinkel (ed.), Birational Geometry, Rational Curves, and Arithmetic, edition 127, pages 1-13, Springer.
    • Handle: RePEc:spr:sprchp:978-1-4614-6482-2_1
    DOI: 10.1007/978-1-4614-6482-2_1
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