JORDAN PROPERTIES OF AUTOMORPHISM GROUPS OF CERTAIN OPEN ALGEBRAIC VARIETIES

Tatiana Bandman, Yuri G. Zarhin

Research output: Contribution to journalArticle

Abstract

Let W be a quasiprojective variety over an algebraically closed field of characteristic zero. Assume that W is birational to a product of a smooth projective variety A and the projective line. We prove that if A contains no rational curves then the automorphism group G := Aut (W) of W is Jordan. That means that there is a positive integer J = J (W) such that every finite subgroup ℬ of G contains a commutative subgroup A such that A is normal in ℬ and the index [ℬ : A] ≤ J.

Original languageEnglish (US)
Pages (from-to)721-739
Number of pages19
JournalTransformation Groups
Volume24
Issue number3
DOIs
StatePublished - Sep 15 2019

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Algebraic Variety
Automorphism Group
Subgroup
Rational Curves
Projective Variety
Algebraically closed
Integer
Line
Zero

All Science Journal Classification (ASJC) codes

  • Algebra and Number Theory
  • Geometry and Topology

Cite this

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JORDAN PROPERTIES OF AUTOMORPHISM GROUPS OF CERTAIN OPEN ALGEBRAIC VARIETIES. / Bandman, Tatiana; Zarhin, Yuri G.

In: Transformation Groups, Vol. 24, No. 3, 15.09.2019, p. 721-739.

Research output: Contribution to journalArticle

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