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
2010-01-01

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.
Settore MAT/03 - Geometria
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11384/6366
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