Number Fields and Function Fields - Two Parallel Worlds: 239 (Progress in Mathematics, 239) - Tapa dura

Libro 61 de 169: Progress in Mathematics
 
9780817643973: Number Fields and Function Fields - Two Parallel Worlds: 239 (Progress in Mathematics, 239)
Tapa dura
ISBN 10: 0817643974 ISBN 13: 9780817643973
Editorial: Birkhäuser, 2005

Sinopsis

Ever since the analogy between number fields and function fields was discovered in the 19th century it has been and remains a source of inspiration for new ideas. A deeper understanding of this correlation could have tremendous consequences for the search for a unified approach that 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.Contributors include: G. Boeckle; T. van den Boogaart; H. Brenner; F. Breuer; K. Conrad; A. Deitmar; C. Deninger; B. Edixhoven; G. Faltings; G. Harder; U. Hartl; R. de Jong; K. Koehler; U. Kuehn; J. Lagarias; T. Oda; R. Pink; D. Roessler; U. Stuhler; and A. Werner.

"Sinopsis" puede pertenecer a otra edición de este libro.

De la contraportada

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.

Contributors: G. Böckle; T. van den Bogaart; H. Brenner; F. Breuer; K. Conrad; A. Deitmar; C. Deninger; B. Edixhoven; G. Faltings; U. Hartl; R. de Jong; K. Köhler; U. Kühn; J.C. Lagarias; V. Maillot; R. Pink; D. Roessler; and A. Werner.

"Sobre este título" puede pertenecer a otra edición de este libro.

Editorial
Birkhäuser
Año de publicación
2005
Idioma
Inglés
ISBN 10 
0817643974
ISBN 13 
9780817643973
Encuadernación
Tapa dura
Número de páginas
336
Editor
Moonen BJJ, Van Der Geer Gerard B. M., Schoof René
Contacto del fabricante
ProductSafety@springernature.com
ProductSafety@springernature.com

Poststr. 9
Darmstadt
64293
Alemania