Geodesic
Essential dimension, spinor groups, and quadratic forms
Patrick Brosnan1 ; Zinovy Reichstein1 ; Angelo Vistoli2
1 University of British Columbia, Department of Mathematics, 1984 Mathematics Road, Vancouver, V6T1Z2, Canada
2 Scuola Normale Superiore, Piazza dei Cavalieri 7, 56126 Pisa, Italy
Annals of mathematics, Tome 171 (2010) no. 1, pp. 533-544.

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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.
DOI : 10.4007/annals.2010.171.533

Patrick Brosnan 1 ; Zinovy Reichstein 1 ; Angelo Vistoli 2

1 University of British Columbia, Department of Mathematics, 1984 Mathematics Road, Vancouver, V6T1Z2, Canada
2 Scuola Normale Superiore, Piazza dei Cavalieri 7, 56126 Pisa, Italy 
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Patrick Brosnan; Zinovy Reichstein; Angelo Vistoli. Essential dimension, spinor groups, and quadratic forms. Annals of mathematics, Tome 171 (2010) no. 1, pp. 533-544. doi : 10.4007/annals.2010.171.533. http://geodesic.mathdoc.fr/articles/10.4007/annals.2010.171.533/

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