Essential dimension of algebraic tori

Lötscher, Roland; MacDonald, Mark; Meyer, Aurel; Reichstein, Zinovy (2013): Essential dimension of algebraic tori. In: Journal für die reine und angewandte Mathematik (Crelle's Journal), No. 677: pp. 1-13

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
• Faculties: Mathematics, Computer Science and Statistics > Mathematics
• Subjects: 500 Science > 510 Mathematics
• Alliance/National Licence: This publication is with permission of the rights owner freely accessible due to an Alliance licence and a national licence (funded by the DFG, German Research Foundation) respectively.
• Language: English