Relative Motives and the Theory of Pseudo-finite Fields
نویسندگان
چکیده
منابع مشابه
Relative Motives and the Theory of Pseudo-finite Fields
We generalize the motivic incarnation morphism from the theory of arithmetic integration to the relative case, where we work over a base variety S over a field k of characteristic zero. We develop a theory of constructible effective Chow motives over S, and we show how to associate a motive to any S-variety. We give a geometric proof of relative quantifier elimination for pseudo-finite fields, ...
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The category of motives over the algebraic closure of a finite field is known to be a semisimple Q-linear Tannakian category, but unless one assumes the Tate conjecture there is little further one can say about it. However, once this conjecture is assumed, it is possible to give an almost entirely satisfactory description of the category together with its standard fibre functors. In particular ...
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15 صفحه اولNotes on the model theory of finite and pseudo-finite fields
These notes contain the material covered during a mini-course given at the University of Helsinki, 22 29 April 2009. The reader wishing to see more on pseudo-finite fields can also consult the notes on the course given in Madrid (November 2005), posted on my web page. The main part of this course is based on a paper by James Ax [A], The elementary theory of finite fields. The interested reader ...
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ژورنال
عنوان ژورنال: International Mathematics Research Papers
سال: 2010
ISSN: 1687-3017,1687-3009
DOI: 10.1093/imrp/rpm001