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.
Full text not available from this repository.Official URL: http://dx.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: | 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: | 11 Apr 2013 14:21 |
| Identification Number: | |
| URI: | http://eprints.lancs.ac.uk/id/eprint/59941 |
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