Proper Ga -actions on ℂ4 preserving a coordinate

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2 Scopus citations


We prove that the actions mentioned in the title are translations. We show also that for certain Ga -actions on affine fourfolds the categorical quotient of the action is automatically an affine algebraic variety and describe the geometric structure of such quotients.

Original languageEnglish (US)
Pages (from-to)227-258
Number of pages32
JournalAlgebra and Number Theory
Issue number2
StatePublished - 2018


  • Proper G -action on affine 4-space

ASJC Scopus subject areas

  • Algebra and Number Theory


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