Roland Lötscher, Mark MacDonald, Aurel Meyer and Zinovy Reichstein: Essential dimension of algebraic tori

Submission: 2010, Aug 17

We give a short characteristic-free proof of the formula for the essential p-dimension of a group of multiplicative type first established in our preprint 363. We also give some new applications of this formula, in particular in prime characteristic.

2000 Mathematics Subject Classification: 20G15

Keywords and Phrases: Essential dimension, algebraic torus, group of multiplicative type, twisted finite group, lattice, Galois module

Full text: dvi.gz 29 k, dvi 81 k, ps.gz 836 k, pdf.gz 142 k, pdf 176 k.

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