Rationally isotropic exceptional projective homogeneous varieties are locally isotropic
Algebraic Geometry
2012-10-26 v1
Abstract
Assume that R is a local regular ring containing an infinite perfect field, or that R is the local ring of a point on a smooth scheme over an infinite field. Let K be the field of fractions of R and the characteristic of K is not 2. Let X be an exceptional projective homogeneous scheme over R. We prove that in most cases the condition that X has a K-point implies that X has an R-point.
Keywords
Cite
@article{arxiv.1210.6695,
title = {Rationally isotropic exceptional projective homogeneous varieties are locally isotropic},
author = {Ivan Panin and Victor Petrov},
journal= {arXiv preprint arXiv:1210.6695},
year = {2012}
}