Equivariant birational types and Burnside volume

Andrew Kresch, Yuri Tschinkel

Research output: Contribution to journalArticlepeer-review


We introduce equivariant Burnside groups, new invariants in equivariant birational geometry, generalizing birational symbols groups for actions of finite Abelian groups, due to Kontsevich, Pestun, and the second author, and study their properties. We establish a specialization map for the equivariant birational type of a smooth algebraic variety with an action of a finite group.

Original languageEnglish (US)
Pages (from-to)1013-1052
Number of pages40
JournalAnnali della Scuola Normale Superiore di Pisa - Classe di Scienze
Issue number2
StatePublished - 2022

ASJC Scopus subject areas

  • Theoretical Computer Science
  • Mathematics (miscellaneous)


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