We prove that the essential dimension of the spinor group 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.
Essential dimension, spinor groups, and quadratic forms
VISTOLI, ANGELO
2010
Abstract
We prove that the essential dimension of the spinor group 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.File in questo prodotto:
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