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This volume collects the texts of five courses given in the Arithmetic Geometry Research Programme 2009-2010 at the CRM Barcelona. All of them deal with charact
Arithmetic and Geometry over Local Fields
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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
Function Field Arithmetic
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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
Number Theory in Function Fields
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Early in the development of number theory, it was noticed that the ring of integers has many properties in common with the ring of polynomials over a finite fie
Basic Structures of Function Field Arithmetic
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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