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Essential dimension of algebraic tori

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.

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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: Article
Journal or Publication Title: Journal für die reine und angewandte Mathematik (Crelle's Journal)
Subjects: Q Science > QA Mathematics
Departments: Faculty of Science and Technology > Mathematics and Statistics
ID Code: 59941
Deposited By: ep_importer_pure
Deposited On: 12 Nov 2012 09:19
Refereed?: Yes
Published?: Published
Last Modified: 10 Apr 2014 00:18
Identification Number:
URI: http://eprints.lancs.ac.uk/id/eprint/59941

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