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.File in questo prodotto:
File | Dimensione | Formato | |
---|---|---|---|
annals-v171-n1-p12-p.pdf
Accesso chiuso
Tipologia:
Published version
Licenza:
Non pubblico
Dimensione
783.25 kB
Formato
Adobe PDF
|
783.25 kB | Adobe PDF | Visualizza/Apri Richiedi una copia |
brv.pdf
accesso aperto
Tipologia:
Accepted version (post-print)
Licenza:
Sola lettura
Dimensione
185.55 kB
Formato
Adobe PDF
|
185.55 kB | Adobe PDF | Visualizza/Apri |
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.