Abstract
We prove that the essential dimension of the spinor group $\mathbf{Spin}_n$ grows exponentially with $n$ and use this result to show that quadratic forms with trivial discriminant and Hasse-Witt invariant are more complex, in high dimensions, than previously expected.
Authors
Patrick Brosnan
University of British Columbia, Department of Mathematics, 1984 Mathematics Road, Vancouver, V6T1Z2, Canada
Zinovy Reichstein
University of British Columbia, Department of Mathematics, 1984 Mathematics Road, Vancouver, V6T1Z2, Canada
Angelo Vistoli
Scuola Normale Superiore, Piazza dei Cavalieri 7, 56126 Pisa, Italy
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