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Essential dimension of algebraic tori

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Essential dimension of algebraic tori. / Lötscher, Roland; MacDonald, Mark; Meyer, Aurel et al.
In: Journal für die reine und angewandte Mathematik (Crelle's Journal), Vol. 677, 04.2013, p. 1-13.

Research output: Contribution to Journal/MagazineJournal articlepeer-review

Harvard

Lötscher, R, MacDonald, M, Meyer, A & Reichstein, Z 2013, 'Essential dimension of algebraic tori', Journal für die reine und angewandte Mathematik (Crelle's Journal), vol. 677, pp. 1-13. https://doi.org/10.1515/crelle.2012.010

APA

Lötscher, R., MacDonald, M., Meyer, A., & Reichstein, Z. (2013). Essential dimension of algebraic tori. Journal für die reine und angewandte Mathematik (Crelle's Journal), 677, 1-13. https://doi.org/10.1515/crelle.2012.010

Vancouver

Lötscher R, MacDonald M, Meyer A, Reichstein Z. Essential dimension of algebraic tori. Journal für die reine und angewandte Mathematik (Crelle's Journal). 2013 Apr;677:1-13. Epub 2013 Mar 29. doi: 10.1515/crelle.2012.010

Author

Lötscher, Roland ; MacDonald, Mark ; Meyer, Aurel et al. / Essential dimension of algebraic tori. In: Journal für die reine und angewandte Mathematik (Crelle's Journal). 2013 ; Vol. 677. pp. 1-13.

Bibtex

@article{b26affc73ee84e11b48379b53e118a63,
title = "Essential dimension of algebraic tori",
abstract = "The essential dimension is a numerical invariant of an algebraic group G which may be thought of as a measure of complexity of G-torsors over fields. A recent theorem of N. Karpenko and A. Merkurjev gives a simple formula for the essential dimension of a finite p-group. We obtain similar formulas for the essential p-dimension of a broad class of groups, which includes all algebraic tori.",
author = "Roland L{\"o}tscher and Mark MacDonald and Aurel Meyer and Zinovy Reichstein",
year = "2013",
month = apr,
doi = "10.1515/crelle.2012.010",
language = "English",
volume = "677",
pages = "1--13",
journal = "Journal f{\"u}r die reine und angewandte Mathematik (Crelle's Journal)",
issn = "0075-4102",
publisher = "Walter de Gruyter GmbH & Co. KG",

}

RIS

TY - JOUR

T1 - Essential dimension of algebraic tori

AU - Lötscher, Roland

AU - MacDonald, Mark

AU - Meyer, Aurel

AU - Reichstein, Zinovy

PY - 2013/4

Y1 - 2013/4

N2 - The essential dimension is a numerical invariant of an algebraic group G which may be thought of as a measure of complexity of G-torsors over fields. A recent theorem of N. Karpenko and A. Merkurjev gives a simple formula for the essential dimension of a finite p-group. We obtain similar formulas for the essential p-dimension of a broad class of groups, which includes all algebraic tori.

AB - The essential dimension is a numerical invariant of an algebraic group G which may be thought of as a measure of complexity of G-torsors over fields. A recent theorem of N. Karpenko and A. Merkurjev gives a simple formula for the essential dimension of a finite p-group. We obtain similar formulas for the essential p-dimension of a broad class of groups, which includes all algebraic tori.

U2 - 10.1515/crelle.2012.010

DO - 10.1515/crelle.2012.010

M3 - Journal article

VL - 677

SP - 1

EP - 13

JO - Journal für die reine und angewandte Mathematik (Crelle's Journal)

JF - Journal für die reine und angewandte Mathematik (Crelle's Journal)

SN - 0075-4102

ER -