Roland Lötscher: Essential dimension of involutions and subalgebras

rolandlo@gmail.com

Submission: 2010, Oct 19

We use theorems of N. Karpenko about the incompressibility of Severi Brauer varieties and quadratic Weil transfers of Severi Brauer varieties to compute the minimal number of parameters needed to define conjugacy classes of involutions of given type on division algebras of 2-primary index. Similarly we compute the minimal number of parameters needed to define conjugacy classes of etale subalgebras of given type and central simple subalgebras of given degree in division algebras of p-primary index.

2000 Mathematics Subject Classification: 20G15, 16W10, 16K20

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