A Nonstandard Approach to Real Multiplication

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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.
20 pages. Adapted from a chapter of the author's PhD thesis

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Number Theory, Logic, 11U10; 11R37

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http://salesiana.dossiersoluciones.com/handle/123456789/135924

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0612184
 http://arxiv.org/abs/math/0612184

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arXiv