Notes on motives in finite characteristic
Algebraic Geometry
2007-06-13 v2
Abstract
Motivic local systems over a curve in finite characteristic form a countable set endowed with an action of the absolute Galois group of rational numbers commuting with the Frobenius map. I will discuss three series of conjectures about such sets, based on an analogy with algebraic dynamics, on a formalism of commutative algebras of motivic integral operators, and on an analogy with 2-dimensional lattice models.
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Cite
@article{arxiv.math/0702206,
title = {Notes on motives in finite characteristic},
author = {Maxim Kontsevich},
journal= {arXiv preprint arXiv:math/0702206},
year = {2007}
}
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33 pages