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Licensed Unlicensed Requires Authentication Published by De Gruyter March 6, 2012

Essential dimension of algebraic tori

  • Roland Lötscher EMAIL logo , Mark MacDonald , Aurel Meyer and Zinovy Reichstein

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.

Received: 2010-06-13
Revised: 2011-06-24
Published Online: 2012-03-06
Published in Print: 2013-04

©[2013] by Walter de Gruyter Berlin Boston

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