Rationally isotropic exceptional projective homogeneous varieties are locally isotropic

  • I. Panin

  • V. Petrov

Abstract

Assume that RR is a regular local ring that contains an infinite field and whose field of fractions KK has charactertistic 2\ne 2. Let XX be an exceptional projective homogeneous scheme over RR. We prove that in most cases the condition X(K)X(K)\neq\emptyset implies X(R)X(R)\neq\emptyset.