Rationality Problem for Generic Tori in Simple Groups

Anne Cortella

Research output: Contribution to journalArticlepeer-review

10 Scopus citations


We prove that except for several already known cases, the generic torus of a simple (adjoint or simply connected) group is not stably rational. This confirms a conjecture by Le Bruyn on generic norm tori.

Original languageEnglish
Pages (from-to)771-793
Number of pages23
JournalJournal of Algebra
Issue number2
StatePublished - 15 Mar 2000
Externally publishedYes

Bibliographical note

Funding Information:
1Research was partially supported by the Ministry of Absorption (Israel), the Israel Science Foundation founded by the Israel Academy of Sciences and Humanities, and the Minerva Foundation through the Emmy Noether Research Institute.


  • Linear algebraic group; generic torus; birational invariant


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