Lötscher, Roland and MacDonald, Mark and Meyer, Aurel and Reichstein, Zinovy (2013) Essential dimension of algebraic tori. Journal für die reine und angewandte Mathematik (Crelle's Journal), 677. pp. 1-13. ISSN 0075-4102
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Official URL: https://doi.org/10.1515/crelle.2012.010
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.
Item Type:
Journal Article
Journal or Publication Title:
Journal für die reine und angewandte Mathematik (Crelle's Journal)
Uncontrolled Keywords:
/dk/atira/pure/researchoutput/libraryofcongress/qa
Subjects:
?? MATHEMATICS AND STATISTICSAPPLIED MATHEMATICSMATHEMATICS(ALL)QA MATHEMATICS ??
Departments:
ID Code:
59941
Deposited By:
Deposited On:
12 Nov 2012 09:19
Refereed?:
Yes
Published?:
Published
Last Modified:
15 Sep 2023 00:05