Isotropy of unitary involutions
Algebraic Geometry
2015-05-27 v4
Abstract
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.
Keywords
Cite
@article{arxiv.1103.5777,
title = {Isotropy of unitary involutions},
author = {Nikita Karpenko and Maksim Zhykhovich},
journal= {arXiv preprint arXiv:1103.5777},
year = {2015}
}
Comments
final version, to appear in Acta Math