Isotropy of unitary involutions

• 成果类型: Article
• 署名作者: Karpenko, Nikita; Zhykhovich, Maksim
• 署名单位: University of Alberta; Johannes Gutenberg University of Mainz
• 刊物名称: ACTA MATHEMATICA
• ISSN/ISSBN: 0001-5962
• DOI: 10.1007/s11511-013-0103-0
• 发表日期: 2013
• 页码: 227-253
• 关键词: weil transfer

摘要

We prove the so-called unitary isotropy theorem, a result on isotropy of a unitary involution. The analogous previously known results on isotropy of orthogonal and symplectic involutions as well as on hyperbolicity of orthogonal, symplectic, and unitary involutions are formal consequences of this theorem. A component of the proof is a detailed study of the quasi-split unitary grassmannians.