A Nonstandard Approach to Real Multiplication
Number Theory
2007-08-13 v2 Logic
Abstract
We explore the possibility of using Model Theoretic ideas to study certain non-Hausdorff spaces knwon as Quantum Tori with a view to their application to Manin's theory of Real Multiplication. We study the morphisms between these spaces using Nonstandard Analysis, and describe an action of a certain Galois group on a certain classes of these spaces.
Cite
@article{arxiv.math/0612184,
title = {A Nonstandard Approach to Real Multiplication},
author = {Lawrence Taylor},
journal= {arXiv preprint arXiv:math/0612184},
year = {2007}
}
Comments
20 pages. Adapted from a chapter of the author's PhD thesis