Essential dimension, spinor groups, and quadratic forms

• 成果类型: Article
• 署名作者: Brosnan, Patrick; Reichstein, Zinovy; Vistoli, Angelo
• 刊物名称: ANNALS OF MATHEMATICS
• ISSN/ISSBN: 0003-486X
• DOI: 10.4007/annals.2010.171.533
• 发表日期: 2010
• 页码: 533-544
• 关键词: algebraic-groups

摘要

We prove that the essential dimension of the spinor group Spin, grows exponentially with 17 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.