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OverviewArithmetic non commutative geometry uses ideas and tools from non commutative geometry to address questions in a new way and to reinterpret results and constructions from number theory and arithmetic algebraic geometry. This general philosophy is applied to the geometry and arithmetic of modular curves and to the fibers at Archimedean places of arithmetic surfaces and varieties.Non commutative geometry can be expected to say something about topics of arithmetic interest because it provides the right framework for which the tools of geometry continue to make sense on spaces that are very singular and apparently very far from the world of algebraic varieties. This provides a way of refining the boundary structure of certain classes of spaces that arise in the context of arithmetic geometry. With a foreword written by Yuri Manin and a brief introduction to non commutative geometry, this book offers a comprehensive account of the cross fertilization between two important areas, non commutative geometry and number theory. It is suitable for graduate students and researchers interested in these areas. Full Product DetailsAuthor: Matilde MarcolliPublisher: American Mathematical Society Imprint: American Mathematical Society Edition: illustrated Edition Volume: No. 36 Dimensions: Width: 17.50cm , Height: 1.00cm , Length: 24.90cm Weight: 0.283kg ISBN: 9780821838334ISBN 10: 0821838334 Pages: 136 Publication Date: 30 August 2005 Audience: College/higher education , Professional and scholarly , Postgraduate, Research & Scholarly , Professional & Vocational Format: Paperback Publisher's Status: Active Availability: Temporarily unavailable  The supplier advises that this item is temporarily unavailable. It will be ordered for you and placed on backorder. Once it does come back in stock, we will ship it out to you. Table of ContentsOuveture Noncommutative modular curves Quantum statistical mechanics and Galois theory Noncommutative geometry at arithmetic infinity Vistas Bibliography.ReviewsAuthor InformationTab Content 6Author Website:Countries AvailableAll regions |
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