Infinite transitivity on affine varieties

Ivan Arzhantsev, Hubert Flenner, Shulim Kaliman, Frank Kutzschebauch, Mikhail Zaidenberg

Research output: Chapter in Book/Report/Conference proceedingChapter

7 Scopus citations


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.

Original languageEnglish (US)
Title of host publicationBirational Geometry, Rational Curves, and Arithmetic
PublisherSpringer New York
Number of pages13
ISBN (Electronic)9781461464822
ISBN (Print)9781461464815
StatePublished - Jan 1 2013


ASJC Scopus subject areas

  • Mathematics(all)

Cite this

Arzhantsev, I., Flenner, H., Kaliman, S., Kutzschebauch, F., & Zaidenberg, M. (2013). Infinite transitivity on affine varieties. In Birational Geometry, Rational Curves, and Arithmetic (pp. 1-13). Springer New York.