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Number Fields and Function Fields - Two Parallel Worlds

Number Fields and Function Fields - Two Parallel Worlds

Hardcover

Series: Progress in Mathematics, Book 239

General MathematicsGeometryPhysics

ISBN10: 0817643974
ISBN13: 9780817643973
Publisher: Springer Nature
Published: Sep 14 2005
Pages: 321
Weight: 1.30
Height: 0.79 Width: 6.62 Depth: 9.34
Language: English

Ever since the analogy between number fields and function fields was discovered, it has been a source of inspiration for new ideas, and a long history has not in any way detracted from the appeal of the subject. As a deeper understanding of this analogy could have tremendous consequences, the search for a unified approach has become a sort of Holy Grail. These invited articles by leading researchers in the field explore various aspects of the parallel worlds of function fields and number fields. Topics range from Arakelov geometry, the search for a theory of varieties over the field with one element, via Eisenstein series to Drinfeld modules, and t-motives. This volume is aimed at a wide audience of graduate students, mathematicians, and researchers interested in geometry and arithmetic and their connections.

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Geometry