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Field Arithmetic
Language: en
Pages: 812
Authors: Michael D. Fried
Categories: Algebraic fields
Type: BOOK - Published: 2005 - Publisher: Springer Science & Business Media

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Field Arithmetic explores Diophantine fields through their absolute Galois groups. This largely self-contained treatment starts with techniques from algebraic g
Basic Structures of Function Field Arithmetic
Language: en
Pages: 433
Authors: David Goss
Categories: Mathematics
Type: BOOK - Published: 2012-12-06 - Publisher: Springer Science & Business Media

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From the reviews:"The book...is a thorough and very readable introduction to the arithmetic of function fields of one variable over a finite field, by an author
Function Field Arithmetic
Language: en
Pages: 405
Authors: Dinesh S. Thakur
Categories: Mathematics
Type: BOOK - Published: 2004 - Publisher: World Scientific

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This book provides an exposition of function field arithmetic with emphasis on recent developments concerning Drinfeld modules, the arithmetic of special values
Field Arithmetic
Language: en
Pages: 815
Authors: Michael D. Fried
Categories: Mathematics
Type: BOOK - Published: 2008-04-09 - Publisher: Springer Science & Business Media

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Field Arithmetic explores Diophantine fields through their absolute Galois groups. This largely self-contained treatment starts with techniques from algebraic g
Arithmetic and Geometry over Local Fields
Language: en
Pages: 337
Authors: Bruno Anglès
Categories: Mathematics
Type: BOOK - Published: 2021-03-03 - Publisher: Springer Nature

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This volume introduces some recent developments in Arithmetic Geometry over local fields. Its seven chapters are centered around two common themes: the study of