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Sinopsis
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.
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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.
- EditorialBirkhäuser
- Año de publicación2005
- ISBN 10 0817643974
- ISBN 13 9780817643973
- EncuadernaciónTapa dura
- IdiomaInglés
- Número de páginas336
- EditorVan Der Geer Gerard B. M., Moonen BJJ, Schoof René
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Number Fields and Function Fields
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Number Fields And Function Fields: Two Parallel Worlds (progress In Mathematics)
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Number Fields and Function Fields
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Number Fields And Function Fields: Two Parallel Worlds (progress In Mathematics)
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Number Fields and Function Fields - Two Parallel Worlds
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Condición: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. Invited articles by leading researchers explore various aspects of the parallel worlds of function fields and number fieldsTopics range from Arakelov geometry, the search for a theory of varieties over the field with one element, via Eisenstein se. Nº de ref. del artículo: 447088412
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Number Fields and Function Fields ¿ Two Parallel Worlds
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Birkhäuser Boston Sep 2005, 2005
ISBN 10: 0817643974
ISBN 13: 9780817643973
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Librería: BuchWeltWeit Ludwig Meier e.K., Bergisch Gladbach, Alemania
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Buch. Condición: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -Invited articles by leading researchers explore various aspects of the parallel worlds of function fields and number fieldsTopics 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-motivesAimed at graduate students, mathematicians, and researchers interested in geometry and arithmetic and their connections 336 pp. Englisch. Nº de ref. del artículo: 9780817643973
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Number Fields and Function Fields ¿ Two Parallel Worlds
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Birkhäuser Boston, Birkhäuser Boston, 2005
ISBN 10: 0817643974
ISBN 13: 9780817643973
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Librería: AHA-BUCH GmbH, Einbeck, Alemania
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Buch. Condición: Neu. Druck auf Anfrage Neuware - Printed after ordering - 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. Nº de ref. del artículo: 9780817643973
Cantidad disponible: 1 disponibles
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Number Fields and Function Fields: Two Parallel Worlds (Progress in Mathematics) (Progress in Mathematics, 239)
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Number Fields and Function Fields - Two Parallel Worlds
Publicado por
Birkhäuser Boston, Birkhäuser Boston Sep 2005, 2005
ISBN 10: 0817643974
ISBN 13: 9780817643973
Nuevo
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Librería: buchversandmimpf2000, Emtmannsberg, BAYE, Alemania
Calificación del vendedor: 5 de 5 estrellas
Buch. Condición: Neu. 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. Nº de ref. del artículo: 9780817643973
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