ARITHMETIC NONCOMMUTATIVE GEOMETRY by Matilde Marcolli ( 9780821838334 )

Item Details

Title:

ARITHMETIC NONCOMMUTATIVE GEOMETRY

By:

Matilde Marcolli

Format:

Paperback

List price:

£32.95

Our price:

£29.66

Discount:

10% off

You save:

£3.29

ISBN 10:

0821838334

ISBN 13:

9780821838334

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Publisher:

AMERICAN MATHEMATICAL SOCIETY

Pub. date:

15 August, 2005

Edition:

Illustrated edition

Series:

University Lecture Series No. 36

Pages:

136

Description:

Arithmetic non commutative geometry uses ideas and tools from non commutative geometry to reinterpret results and constructions from number theory and arithmetic algebraic geometry. This book offers a comprehensive account of the cross fertilization between two areas, non commutative geometry and number theory.

Synopsis:

Arithmetic 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.

Illustrations:

Illustrations

Publication:

Imprint:

American Mathematical Society

Returns:

Returnable

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