Submission: 2012, Jan 2
We conclude the computation of the essential dimension of split spinor groups and give an application in algebraic theory of quadratic forms. We also compute essential dimension of quadratic forms with trivial discriminant and Clifford invariant.
2010 Mathematics Subject Classification: 11E04, 11E57, 11E72, 11E81, 14L35, 20G15
Keywords and Phrases: Linear algebraic groups, Spinor groups, essential dimension, torsor, non-abelian cohomology, quadratic forms, Witt groups, the fundamental ideal
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