Rationality Problem for Generic Tori in Simple Groups

Anne Cortella

doi:10.1006/jabr.1999.8150

Rationality Problem for Generic Tori in Simple Groups

Anne Cortella

Research output: Contribution to journal › Article › peer-review

10 Scopus citations

Abstract

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 language	English
Pages (from-to)	771-793
Number of pages	23
Journal	Journal of Algebra
Volume	225
Issue number	2
DOIs	https://doi.org/10.1006/jabr.1999.8150
State	Published - 15 Mar 2000
Externally published	Yes

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.

Keywords

Linear algebraic group; generic torus; birational invariant

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10.1006/jabr.1999.8150

Cite this

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title = "Rationality Problem for Generic Tori in Simple Groups",

abstract = "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.",

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author = "Anne Cortella",

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Rationality Problem for Generic Tori in Simple Groups

Abstract

Bibliographical note

Keywords

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