English

Hyperbolicity of orthogonal involutions

Algebraic Geometry 2009-04-21 v1

Abstract

We show that a non-hyperbolic orthogonal involution on a central simple algebra over a field of characteristic different from 2 remains non-hyperbolic over some splitting field of the algebra.

Keywords

Cite

@article{arxiv.0904.2850,
  title  = {Hyperbolicity of orthogonal involutions},
  author = {Nikita A. Karpenko},
  journal= {arXiv preprint arXiv:0904.2850},
  year   = {2009}
}

Comments

16 pages

R2 v1 2026-06-21T12:52:48.156Z