Year: 2006
Type: preprint
Abstract: In April, 2006, Kontsevich asked me whether the category of motives over F_p (p prime) has a fibre functor over a number field of finite degree since he had a conjecture that more-or-less implied this. This article is my response. Unfortunately, since the results are generally negative or inconclusive, they are of little interest except perhaps for the question they raise on the existence of a cyclic extension of Q having certain properties.
Source: arXiv (Cornell University)
Author: Milne, J. S.
Language: English
Subfield: Geometry and Topology
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W4394648653