Essential dimension of the spin groups in characteristic 2

  • Burt Totaro

    University of California Los Angeles, USA
Essential dimension of the spin groups in characteristic 2 cover
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Abstract

We determine the essential dimension of the spin group Spin(n)(n) as an algebraic group over a field of characteristic 2, for nn at least 15. In this range, the essential dimension is the same as in characteristic not 2. In particular, it is exponential in n. In contrast, the essential dimension of the orthogonal groups is smaller in characteristic 2. We also find the essential dimension of Spin(n)(n) in characteristic 2 for nn at most 10.

Cite this article

Burt Totaro, Essential dimension of the spin groups in characteristic 2. Comment. Math. Helv. 94 (2019), no. 1, pp. 1–20

DOI 10.4171/CMH/452