Rigidity for henselian local rings and A^1-representable theories, by Jens Hornbostel and Serge Yagunov

[This preprint, last updated April 28,2004, was updated again February 23, 2005.]

We prove that for a large class of A^1-representable theories including all orientable theories it is possible to construct transfer maps and to prove rigidity theorems in the style of Gabber. This generalizes results of Panin and Yagunov over algebraically closed fields to arbitrary fields of characteristic 0.

Jens Hornbostel <jens.hornbostel@mathematik.uni-regensburg.de>
Serge Yagunov <Serge_Yagunov@mail.ru>