Number Fields and Function Fields - Two Parallel Worlds

Language: English

Published by Birkhäuser Boston, Birkhäuser Boston Sep 2005, 2005

0817643974 / 9780817643973

Series: Book 61 of 170 - Progress in Mathematics

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This item is printed on demand - Print on Demand Titel. Neuware -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. The arrival of Arakelov's new geometry that tries to put the archimedean places on a par with the finite ones gave a new impetus and led to spectacular success in Faltings' hands. There are numerous further examples where ideas or techniques from the more geometrically-oriented world of function fields have led to new insights in the more arithmetically-oriented world of number fields, or vice versa.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.Springer Basel AG in Springer Science + Business Media, Heidelberger Platz 3, 14197 Berlin 336 pp. Englisch.

Seller Inventory # 9780817643973

Title
Number Fields and Function Fields - Two Parallel Worlds
Author
Gerard B. M. Van Der Geer
Publisher
Birkhäuser Boston, Birkhäuser Boston Sep 2005
Publication year
2005
Condition
Neu
Binding
Buch
Language
English
ISBN 10
0817643974
ISBN 13
9780817643973
Item weight
670 grams
Dimensions
241x160x24 mm
Series
Book 61 of 170: Progress in Mathematics

buchversandmimpf2000

Emtmannsberg, BAYE, Germany

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