Vladimir Chernousov and Alexander Merkurjev: Essential dimension of quadratic forms with trivial discriminant and Clifford invariant

chernous@math.ualberta.ca merkurev@math.ucla.edu

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

Full text: dvi.gz 30 k, dvi 76 k, ps.gz 935 k, pdf.gz 160 k, pdf 194 k.


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